The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  1  2  0  2  1  1  1  4  1  1  1
 0  2  0  0  0  0  0  0  0  2  6  4  2  4  6  6  4  2  4  2  6  2  4  6  2  2  0  4
 0  0  2  0  0  4  6  2  2  2  2  6  4  4  0  0  2  2  6  0  0  6  4  6  4  6  6  4
 0  0  0  2  0  6  6  6  4  0  0  0  0  4  2  2  4  6  2  2  4  2  4  6  4  6  2  0
 0  0  0  0  2  2  4  6  2  0  2  2  6  0  4  2  4  2  0  6  0  6  6  4  2  0  4  2

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

Homogenous weight enumerator: w(x)=1x^0+27x^22+100x^23+98x^24+138x^25+246x^26+282x^27+297x^28+278x^29+238x^30+146x^31+73x^32+54x^33+30x^34+14x^35+10x^36+10x^37+3x^38+2x^39+1x^44

The gray image is a code over GF(2) with n=112, k=11 and d=44.
This code was found by Heurico 1.16 in 0.0839 seconds.