The generator matrix

 1  0  0  0  1  1  1  6  4  1  1  4  4  1  1  6  1  1  1  1  0  1  1  4  0  1  1  1  1
 0  1  0  0  0  1  1  1  1  2  6  1  2  1  7  4  3  3  0  0  1  6  7  1  0  1  7  6  4
 0  0  1  0  1  1  0  3  2  6  3  1  1  7  2  2  3  2  4  5  5  7  3  3  1  1  4  3  0
 0  0  0  1  1  0  1  3  1  7  2  6  7  1  0  1  5  7  0  7  1  4  0  6  3  1  6  0  2
 0  0  0  0  2  0  2  6  2  6  4  0  2  6  2  4  4  0  2  4  4  4  2  2  4  6  4  6  2
 0  0  0  0  0  2  2  2  4  0  2  0  6  4  2  6  0  6  4  4  0  4  6  6  6  6  6  4  6

generates a code of length 29 over Z8 who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+74x^21+491x^22+792x^23+1901x^24+2780x^25+5772x^26+6402x^27+10049x^28+8674x^29+10561x^30+6294x^31+5810x^32+2770x^33+1871x^34+766x^35+347x^36+100x^37+56x^38+18x^39+4x^40+2x^41+1x^42

The gray image is a code over GF(2) with n=116, k=16 and d=42.
This code was found by Heurico 1.16 in 40.5 seconds.