The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+122x^21+444x^22+1018x^23+1602x^24+2492x^25+3532x^26+4496x^27+5104x^28+4648x^29+3821x^30+2580x^31+1457x^32+852x^33+355x^34+160x^35+60x^36+14x^37+7x^38+2x^39+1x^42

The gray image is a code over GF(2) with n=112, k=15 and d=42.
This code was found by Heurico 1.16 in 10.3 seconds.