The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+60x^21+478x^22+992x^23+1667x^24+2608x^25+3598x^26+4484x^27+4843x^28+4520x^29+3754x^30+2872x^31+1584x^32+704x^33+386x^34+132x^35+65x^36+12x^37+8x^38

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 seconds.