The generator matrix

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

generates a code of length 29 over Z8 who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+96x^21+390x^22+940x^23+1577x^24+3466x^25+4803x^26+7702x^27+8671x^28+10306x^29+8405x^30+7894x^31+4933x^32+3422x^33+1594x^34+866x^35+302x^36+118x^37+36x^38+6x^39+1x^40+3x^42+3x^44+1x^46

The gray image is a code over GF(2) with n=116, k=16 and d=42.
This code was found by Heurico 1.16 in 94.2 seconds.