The generator matrix

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

generates a code of length 28 over Z8 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+219x^22+100x^23+504x^24+520x^25+1118x^26+892x^27+1493x^28+944x^29+1070x^30+540x^31+486x^32+72x^33+174x^34+4x^35+43x^36+11x^38+1x^40

The gray image is a code over GF(2) with n=112, k=13 and d=44.
This code was found by Heurico 1.16 in 54.3 seconds.