The generator matrix

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

generates a code of length 28 over Z8 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+47x^20+24x^21+100x^22+126x^23+316x^24+118x^25+653x^26+278x^27+846x^28+174x^29+652x^30+186x^31+299x^32+66x^33+118x^34+50x^35+27x^36+2x^37+8x^38+5x^42

The gray image is a code over GF(2) with n=112, k=12 and d=40.
This code was found by Heurico 1.16 in 0.285 seconds.