The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+176x^21+344x^22+1174x^23+1186x^24+3158x^25+2801x^26+5678x^27+3532x^28+5726x^29+2977x^30+3362x^31+1147x^32+1026x^33+270x^34+154x^35+20x^36+26x^37+6x^38+2x^40+1x^42+1x^46

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 9.87 seconds.