Acolmiztli.

Headword: 
Acolmiztli.
Principal English Translation: 

a personal name; this was the name carried by a lord of Tlatelolco; this Acolmiztli was the son of Tlacateotzin (ruler of Tlatelolco) and Xiuhtomiyauhtzin (central Mexico, seventeenth century)
Codex Chimalpahin: Society and Politics in Mexico Tenochtitlan, Tlatelolco, Culhuacan, and Other Nahuatl Altepetl in Central Mexico; The Nahuatl and Spanish Annals and Accounts Collected and Recorded by don Domingo de San Antón Muñón Chimalpahin Quauhtlehuanitzin, eds. and transl. Arthur J. O. Anderson and Susan Schroeder (Norman: University of Oklahoma Press, 1997), vol. 2, 98–99, 112–113.

Another Acolmiztli was the son Xilomantzin (ruler of Coyoacan) and Izquixotzin (daughter of Tlacateotzin, a ruler of Tlatelolco, and Xiuhtomiyauhtzin). He was "only a nobleman," not a ruler, who also lived in Tlatelolco. (central Mexico, early seventeenth century)
Codex Chimalpahin: Society and Politics in Mexico Tenochtitlan, Tlatelolco, Culhuacan, and Other Nahuatl Altepetl in Central Mexico; The Nahuatl and Spanish Annals and Accounts Collected and Recorded by don Domingo de San Antón Muñón Chimalpahin Quauhtlehuanitzin, eds. and transl. Arthur J. O. Anderson and Susan Schroeder (Norman: University of Oklahoma Press, 1997), vol. 2, 112–113.

IPAspelling: 
ɑːkoːlmistɬi
Frances Karttunen: 

ĀCŌLMIZ-TLI personal name Acolmiztli [(3)Bf.8r,9v,10v]. See MIZ-TLI.
Frances Karttunen, An Analytical Dictionary of Nahuatl (Norman: University of Oklahoma Press, 1992), 3.

Attestations from sources in English: 

xillomantzin tlahtohuani culhuacan oncan tlacat aculmiztli çan pilli çan hualla yn nican nemico tlatilolco = Xilomantzin, ruler of Culhuacan, took and asked for her, whence was born Acolmiztli, only a nobleman. He just came here to live in Tlatelolco. (central Mexico, early seventeenth century)
Codex Chimalpahin: Society and Politics in Mexico Tenochtitlan, Tlatelolco, Culhuacan, and Other Nahuatl Altepetl in Central Mexico; The Nahuatl and Spanish Annals and Accounts Collected and Recorded by don Domingo de San Antón Muñón Chimalpahin Quauhtlehuanitzin, eds. and transl. Arthur J. O. Anderson and Susan Schroeder (Norman: University of Oklahoma Press, 1997), vol. 2, 112–113.

huehue Aculmiztli chichimecatl teuhctlato ynteyacancauh catca yn aculhuaque. yn cuhuatl ychan tlaca. auh yehuatl in quauhtzonyotl mochihuaco yn tlahtocatlacamecayotica yn vmpa cohuatl ychan. = Huehue Acolmiztli Chichimecatl was [then] a subordinate ruler and leader of the Acolhuaque and people of Coatl Ichan. And he became the lineage [head] of the line of rulers of Coatl Ichan. (central Mexico, early seventeenth century)
Codex Chimalpahin: Society and Politics in Mexico Tenochtitlan, Tlatelolco, Culhuacan, and Other Nahuatl Altepetl in Central Mexico; The Nahuatl and Spanish Annals and Accounts Collected and Recorded by don Domingo de San Antón Muñón Chimalpahin Quauhtlehuanitzin, eds. and transl. Arthur J. O. Anderson and Susan Schroeder (Norman: University of Oklahoma Press, 1997), vol. 2, 110–111.

Auh yn aculmiztli tlahtocapilli tlatilulco oquinchiuh nahuintin ypilhuan ynic ce ytoca mometzcopinatzin ynic ome ytoca [blank space] yniquey ytoca t̶o̶t̶o̶p̶i̶l̶l̶a̶t̶z̶i̶n̶ tzihuacpopocatzin. ynic nahui ytoca quauhtlahtohuatzin tlahtohuani tlatilolco. = And Acolmiztli, a great lord of Tlatelolco, begot four sons. The first was named Mometzcopinatzin; the second was named [blank space]; the third was named Tzihuacpopocatzin; the fourth was named Quauhtlatoatzin, ruler of Tlatelolco. (central Mexico, early seventeenth century)
Codex Chimalpahin: Society and Politics in Mexico Tenochtitlan, Tlatelolco, Culhuacan, and Other Nahuatl Altepetl in Central Mexico; The Nahuatl and Spanish Annals and Accounts Collected and Recorded by don Domingo de San Antón Muñón Chimalpahin Quauhtlehuanitzin, eds. and transl. Arthur J. O. Anderson and Susan Schroeder (Norman: University of Oklahoma Press, 1997), vol. 2, 98–99.

juo. ācolmiz (Tepetlaoztoc, sixteenth century)
Barbara J. Williams and H. R. Harvey, The Códice de Santa María Asunción: Facsimile and Commentary: Households and Lands in Sixteenth-Century Tepetlaoztoc (Salt Lake City: University of Utah Press, 1997), 76, 110–111.