The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  2  2  1  2  0  0  2  4  2  1  1  0  2
 0  2  0  0  0  0  0  0  0  2  6  6  4  6  2  2  6  6  6  2  2  0  2  2  6  6  0  2  6
 0  0  2  0  0  0  2  6  2  2  2  4  2  2  0  2  0  2  4  2  0  2  6  0  6  6  0  4  2
 0  0  0  2  0  2  2  6  0  0  0  4  6  6  2  6  4  4  2  6  2  0  0  4  6  6  2  2  2
 0  0  0  0  2  2  0  6  2  0  2  2  6  0  0  2  4  2  6  6  2  0  4  6  0  2  6  6  4
 0  0  0  0  0  4  0  0  0  4  4  0  4  0  0  0  4  0  4  0  0  0  0  0  4  4  4  4  0
 0  0  0  0  0  0  4  0  0  0  4  4  4  0  4  0  4  0  0  4  4  0  0  4  4  0  0  4  4
 0  0  0  0  0  0  0  4  0  4  0  4  4  4  0  4  4  0  0  4  4  4  4  0  0  0  4  0  0
 0  0  0  0  0  0  0  0  4  0  0  0  4  0  4  0  0  0  4  4  4  4  4  0  0  0  0  4  4

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

Homogenous weight enumerator: w(x)=1x^0+236x^20+816x^22+80x^23+1882x^24+608x^25+3480x^26+1968x^27+5776x^28+2880x^29+5828x^30+1968x^31+3861x^32+608x^33+1716x^34+80x^35+736x^36+188x^38+46x^40+4x^42+4x^44+2x^48

The gray image is a code over GF(2) with n=116, k=15 and d=40.
This code was found by Heurico 1.16 in 17 seconds.