The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  2  2  2  2  1  2  2  2  1  2  2  0  0  1
 0  2  0  0  0  2  6  2  0  4  0  2  6  0  2  4  2  4  6  6  2  6  0  2  6  0  6  4  4  2  0
 0  0  2  0  2  2  6  0  0  0  2  4  6  6  6  6  0  2  6  0  4  4  4  2  4  4  6  0  4  2  2
 0  0  0  2  2  0  6  2  0  2  2  2  2  4  4  6  2  4  2  0  2  4  2  0  4  0  4  2  2  6  2
 0  0  0  0  4  0  0  0  0  0  0  0  0  0  0  4  0  4  4  4  4  0  0  4  4  0  0  0  4  4  4
 0  0  0  0  0  4  0  0  0  0  4  4  4  4  0  4  4  0  0  0  4  4  0  4  0  0  4  4  0  4  4
 0  0  0  0  0  0  4  0  0  4  4  4  4  0  4  0  0  0  4  0  0  0  4  0  4  0  4  0  0  0  4
 0  0  0  0  0  0  0  4  0  0  0  0  0  0  0  0  0  0  4  4  4  4  4  0  4  4  4  4  0  4  0
 0  0  0  0  0  0  0  0  4  0  0  0  4  0  4  4  4  4  0  4  0  0  4  0  4  0  4  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+83x^22+112x^23+296x^24+380x^25+674x^26+804x^27+1257x^28+1632x^29+1768x^30+2256x^31+1789x^32+1752x^33+1308x^34+824x^35+682x^36+320x^37+235x^38+96x^39+64x^40+12x^41+26x^42+4x^43+5x^44+2x^46+2x^48

The gray image is a code over GF(2) with n=124, k=14 and d=44.
This code was found by Heurico 1.16 in 5.14 seconds.