The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+210x^22+508x^23+949x^24+1264x^25+1810x^26+2284x^27+2246x^28+2372x^29+1880x^30+1348x^31+869x^32+360x^33+186x^34+52x^35+30x^36+4x^37+10x^38+1x^40

The gray image is a code over GF(2) with n=112, k=14 and d=44.
This code was found by Heurico 1.16 in 2.89 seconds.