The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+92x^20+152x^21+566x^22+852x^23+1637x^24+2292x^25+4057x^26+3888x^27+5769x^28+3816x^29+3955x^30+2356x^31+1734x^32+836x^33+507x^34+136x^35+111x^36+8x^37+2x^38+1x^54

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 10.9 seconds.