The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+78x^21+504x^22+996x^23+1605x^24+2438x^25+3733x^26+4448x^27+5046x^28+4430x^29+4026x^30+2470x^31+1568x^32+834x^33+345x^34+164x^35+68x^36+12x^37+2x^39

The gray image is a code over GF(2) with n=112, k=15 and d=42.
This code was found by Heurico 1.11 in 4.72 seconds.