The generator matrix

 1  0  1  1  1  6  1  1  0  1  1  6  1  1  0  1  1  6  1  1  1  0  0  1  1  0  6  1  1  1  1
 0  1  3  6  1  1  0  3  1  6  5  1  0  3  1  6  5  1  0  6  3  1  1  3  6  1  1  0  0  0  0
 0  0  4  0  0  0  0  0  0  0  0  0  4  0  0  4  4  4  4  4  0  0  4  4  4  4  0  4  0  0  0
 0  0  0  4  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  4  4  4  4  4  4  4  4  4  0  0  0
 0  0  0  0  4  0  0  0  0  0  0  0  4  4  4  4  4  0  0  0  4  0  4  4  0  4  4  4  0  0  0
 0  0  0  0  0  4  0  0  0  0  0  4  0  4  4  0  4  0  4  4  0  0  4  0  4  4  4  4  0  0  0
 0  0  0  0  0  0  4  0  0  0  0  4  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  0  4  0  0  4  0  0  0  4  0  4  4  4  4  0  0  0  4  4  0  4  0  4  4  0
 0  0  0  0  0  0  0  0  4  0  4  4  4  0  0  0  0  4  4  0  4  4  0  4  0  4  0  0  4  4  0
 0  0  0  0  0  0  0  0  0  4  4  4  4  4  4  4  0  0  4  4  0  4  4  4  0  4  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+51x^20+55x^22+44x^23+166x^24+224x^25+297x^26+848x^27+1187x^28+1824x^29+2331x^30+2312x^31+2343x^32+1824x^33+1192x^34+848x^35+297x^36+224x^37+173x^38+44x^39+50x^40+46x^42+1x^44+1x^46+1x^58

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 3.09 seconds.