The generator matrix

 1  0  0  1  1  1  2  1  1  4  6  1  6  1  1  1  1  2  1  6  1  0  2  4  0  1  1  1  6  4  1
 0  1  0  1  0  3  1  0  2  1  1  1  0  6  3  4  7  1  3  2  6  1  2  6  1  7  6  2  1  1  6
 0  0  1  1  1  0  1  2  3  2  3  3  1  2  0  1  4  0  3  1  6  5  2  1  0  4  5  4  4  2  1
 0  0  0  2  0  6  0  2  2  2  6  4  6  4  6  4  0  2  0  0  2  4  2  4  4  4  4  0  4  6  0
 0  0  0  0  2  0  0  0  0  2  2  6  2  2  6  4  0  4  4  2  2  6  6  4  4  6  4  4  2  6  6
 0  0  0  0  0  4  0  0  0  0  0  0  0  0  0  0  4  4  4  0  0  4  4  0  4  4  4  4  0  0  4
 0  0  0  0  0  0  4  0  4  4  0  4  4  4  0  4  0  4  0  4  4  0  4  4  0  0  0  4  0  0  0
 0  0  0  0  0  0  0  4  4  4  4  0  4  0  4  0  4  0  0  4  0  0  4  4  0  4  0  4  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+67x^22+208x^23+492x^24+1034x^25+1916x^26+3246x^27+4972x^28+6954x^29+8924x^30+9770x^31+8928x^32+7150x^33+5044x^34+3238x^35+1896x^36+958x^37+423x^38+174x^39+90x^40+32x^41+8x^42+4x^43+4x^44+2x^46+1x^48

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 44.8 seconds.