The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+127x^20+16x^21+244x^22+112x^23+706x^24+336x^25+1184x^26+560x^27+1605x^28+560x^29+1192x^30+336x^31+767x^32+112x^33+192x^34+16x^35+105x^36+4x^38+14x^40+3x^44

The gray image is a code over GF(2) with n=112, k=13 and d=40.
This code was found by Heurico 1.16 in 1.21 seconds.