The generator matrix

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

generates a code of length 31 over Z8 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+69x^20+26x^21+80x^22+84x^23+279x^24+300x^25+549x^26+890x^27+1228x^28+1732x^29+1886x^30+2136x^31+1897x^32+1704x^33+1247x^34+916x^35+533x^36+306x^37+268x^38+68x^39+79x^40+28x^41+59x^42+2x^43+10x^44+6x^46+1x^50

The gray image is a code over GF(2) with n=124, k=14 and d=40.
This code was found by Heurico 1.16 in 4.38 seconds.