The generator matrix

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

generates a code of length 28 over Z8 who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+48x^21+105x^22+234x^23+384x^24+638x^25+930x^26+1114x^27+1271x^28+1150x^29+932x^30+654x^31+365x^32+202x^33+78x^34+46x^35+24x^36+10x^37+3x^38+2x^40+1x^44

The gray image is a code over GF(2) with n=112, k=13 and d=42.
This code was found by Heurico 1.16 in 0.889 seconds.