The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+41x^22+60x^23+125x^24+170x^25+263x^26+422x^27+581x^28+844x^29+1008x^30+1076x^31+1057x^32+880x^33+634x^34+440x^35+246x^36+148x^37+85x^38+48x^39+33x^40+6x^41+15x^42+2x^43+5x^44+2x^46

The gray image is a code over GF(2) with n=124, k=13 and d=44.
This code was found by Heurico 1.16 in 1.4 seconds.