The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  2  2  2  2  2  1  1  2  2  2  1  1  1  1
 0  2  0  0  0  2  6  2  0  4  6  2  4  4  4  6  2  0  2  2  6  2  2  6  6  2  4  0  0
 0  0  2  0  2  2  6  0  0  6  2  4  0  0  2  0  4  2  2  4  4  6  6  6  6  2  4  0  0
 0  0  0  2  2  0  6  2  0  2  4  6  2  2  0  0  2  2  4  2  6  0  4  2  2  6  6  0  0
 0  0  0  0  4  0  0  0  4  0  4  4  0  4  4  4  4  0  0  4  4  0  4  4  4  4  4  0  0
 0  0  0  0  0  4  0  0  4  4  0  4  0  4  4  0  4  4  4  0  0  0  4  0  0  0  4  4  4
 0  0  0  0  0  0  4  0  0  0  0  0  4  4  0  4  4  4  0  0  0  4  4  4  0  4  0  4  4
 0  0  0  0  0  0  0  4  4  4  4  0  4  4  0  4  4  4  4  0  4  0  0  4  0  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+72x^20+186x^22+8x^23+531x^24+112x^25+806x^26+376x^27+1452x^28+1056x^29+1442x^30+376x^31+951x^32+112x^33+450x^34+8x^35+179x^36+60x^38+13x^40+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 1.17 seconds.