The generator matrix

 1  0  0  1  1  1  6  1  1  1  1  4  2  2  1  0  1  1  2  1  1  2  4  1  1  6  1  1  0  1  1
 0  1  0  1  6  3  1  0  1  4  1  1  1  2  2  1  3  6  1  3  7  1  2  2  6  1  4  3  0  0  0
 0  0  1  1  3  6  3  6  3  1  2  2  1  1  2  3  3  0  1  0  1  2  1  1  0  3  1  7  1  0  0
 0  0  0  4  0  0  0  0  0  0  0  0  0  0  0  0  4  4  0  4  4  4  4  4  4  0  4  0  4  4  0
 0  0  0  0  4  0  0  0  0  4  0  4  4  4  0  0  4  4  4  0  4  4  0  0  0  0  0  0  4  4  4
 0  0  0  0  0  4  0  0  0  0  4  4  4  4  0  0  4  4  4  4  0  4  0  4  4  4  0  0  0  0  4
 0  0  0  0  0  0  4  0  0  0  0  0  4  0  0  4  0  0  4  0  4  4  4  4  4  4  0  0  0  0  4
 0  0  0  0  0  0  0  4  0  4  4  0  4  0  4  0  0  4  4  4  4  0  4  0  0  4  4  4  4  0  4
 0  0  0  0  0  0  0  0  4  0  0  4  4  4  4  4  0  4  0  4  0  0  4  0  4  4  4  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+46x^22+36x^23+287x^24+366x^25+1105x^26+1176x^27+3351x^28+2688x^29+5319x^30+3728x^31+5805x^32+2748x^33+3030x^34+1160x^35+1250x^36+336x^37+216x^38+44x^39+51x^40+6x^41+9x^42+7x^44+3x^46

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 10.9 seconds.