The generator matrix

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

generates a code of length 29 over Z8 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+243x^20+8x^21+858x^22+224x^23+2076x^24+1696x^25+5978x^26+5920x^27+11276x^28+8880x^29+11154x^30+5920x^31+6305x^32+1696x^33+2194x^34+224x^35+641x^36+8x^37+156x^38+66x^40+12x^42

The gray image is a code over GF(2) with n=116, k=16 and d=40.
This code was found by Heurico 1.16 in 50.8 seconds.