The generator matrix

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

generates a code of length 20 over Z8 who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+124x^15+388x^16+586x^17+1025x^18+1220x^19+1540x^20+1174x^21+1042x^22+636x^23+305x^24+94x^25+45x^26+4x^27+6x^28+2x^29

The gray image is a code over GF(2) with n=80, k=13 and d=30.
This code was found by Heurico 1.11 in 0.235 seconds.