The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+73x^22+284x^23+458x^24+660x^25+884x^26+1100x^27+1233x^28+1152x^29+977x^30+636x^31+371x^32+214x^33+82x^34+44x^35+17x^36+4x^37+2x^41

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 0.773 seconds.