The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+156x^20+8x^21+302x^22+256x^23+1129x^24+1504x^25+2362x^26+3840x^27+4276x^28+5168x^29+4028x^30+3840x^31+2722x^32+1504x^33+932x^34+256x^35+364x^36+8x^37+54x^38+51x^40+2x^42+4x^44+1x^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 11.5 seconds.