The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+80x^20+102x^22+16x^23+420x^24+224x^25+712x^26+752x^27+1275x^28+1088x^29+1172x^30+752x^31+819x^32+224x^33+296x^34+16x^35+195x^36+22x^38+24x^40+1x^44+1x^52

The gray image is a code over GF(2) with n=116, k=13 and d=40.
This code was found by Heurico 1.16 in 0.809 seconds.