The generator matrix

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

generates a code of length 31 over Z8 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+54x^22+146x^23+494x^24+1340x^25+1700x^26+3802x^27+4553x^28+7902x^29+7382x^30+10538x^31+7783x^32+7766x^33+4512x^34+3994x^35+1690x^36+1162x^37+418x^38+204x^39+66x^40+6x^41+12x^42+4x^43+5x^44+2x^46

The gray image is a code over GF(2) with n=124, k=16 and d=44.
This code was found by Heurico 1.16 in 39.4 seconds.