The generator matrix

 1  0  1  1  1  0  1  1  0  1  6  1  1  1  1  1  1  6  0  2  4  1  1  1  2  0  4  2  1
 0  1  1  0  3  1  0  3  1  2  1  7  6  1  6  1  5  1  1  1  0  5  6  0  6  0  2  1  0
 0  0  2  0  2  0  2  0  6  2  2  0  4  6  6  0  0  4  2  0  2  2  0  6  2  2  2  6  0
 0  0  0  2  2  6  2  0  0  0  6  6  4  0  2  6  4  4  2  6  6  6  0  2  2  0  4  4  0
 0  0  0  0  4  0  0  0  0  0  0  4  0  4  4  4  0  4  0  4  0  0  0  4  4  4  0  0  0
 0  0  0  0  0  4  0  0  0  4  4  0  4  0  4  4  0  4  4  0  0  0  0  4  4  0  0  0  0
 0  0  0  0  0  0  4  0  0  0  4  4  0  0  4  0  4  4  4  0  4  0  4  4  4  4  0  0  0
 0  0  0  0  0  0  0  4  0  0  0  0  4  0  4  0  4  0  0  4  4  4  0  0  4  4  0  4  0
 0  0  0  0  0  0  0  0  4  4  0  0  0  4  4  4  4  0  4  0  4  0  0  0  0  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+127x^20+90x^21+290x^22+486x^23+1112x^24+1632x^25+2552x^26+3588x^27+4029x^28+4736x^29+4188x^30+3664x^31+2643x^32+1660x^33+1064x^34+444x^35+257x^36+70x^37+82x^38+10x^39+20x^40+4x^41+16x^42+3x^44

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 11.7 seconds.