The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+51x^20+176x^21+379x^22+920x^23+1440x^24+2702x^25+3158x^26+5406x^27+4210x^28+5422x^29+3342x^30+2750x^31+1287x^32+890x^33+409x^34+138x^35+51x^36+26x^37+7x^38+2x^39+1x^50

The gray image is a code over GF(2) with n=112, k=15 and d=40.
This code was found by Heurico 1.16 in 10.6 seconds.