The generator matrix

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

generates a code of length 31 over Z8 who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+44x^21+141x^22+306x^23+464x^24+838x^25+1560x^26+2764x^27+4853x^28+7270x^29+9313x^30+10240x^31+9384x^32+7344x^33+4968x^34+2852x^35+1554x^36+828x^37+367x^38+206x^39+118x^40+58x^41+32x^42+16x^43+9x^44+2x^45+3x^46+1x^48

The gray image is a code over GF(2) with n=124, k=16 and d=42.
This code was found by Heurico 1.16 in 51.7 seconds.