The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+94x^20+340x^21+821x^22+1808x^23+2976x^24+5008x^25+7419x^26+9138x^27+10116x^28+9268x^29+7484x^30+5238x^31+2999x^32+1656x^33+708x^34+254x^35+134x^36+48x^37+15x^38+10x^39+1x^42

The gray image is a code over GF(2) with n=112, k=16 and d=40.
This code was found by Heurico 1.16 in 37.8 seconds.