The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+134x^22+40x^23+574x^24+260x^25+1447x^26+1184x^27+3191x^28+2800x^29+4860x^30+3696x^31+4876x^32+2840x^33+3299x^34+1184x^35+1486x^36+240x^37+462x^38+40x^39+100x^40+4x^41+37x^42+11x^44+1x^48+1x^50

The gray image is a code over GF(2) with n=124, k=15 and d=44.
This code was found by Heurico 1.16 in 15.6 seconds.