The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+116x^20+156x^21+537x^22+774x^23+1772x^24+2198x^25+4113x^26+4022x^27+5264x^28+4046x^29+4284x^30+2242x^31+1731x^32+754x^33+506x^34+130x^35+76x^36+14x^37+25x^38+5x^42+2x^46

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 10.1 seconds.