The generator matrix

 1  0  0  1  1  1  6  1  1  2  1  1  4  4  2  0  2  0  0  1
 0  1  0  1  6  3  1  0  1  1  2  3  1  2  1  1  2  1  1  0
 0  0  1  1  3  6  3  6  3  1  1  0  2  1  2  3  1  0  0  0
 0  0  0  4  0  0  0  0  0  4  0  4  4  0  0  0  0  4  4  0
 0  0  0  0  4  0  0  0  0  0  0  4  4  4  4  0  0  4  0  0
 0  0  0  0  0  4  0  0  0  0  4  0  4  4  4  0  0  0  4  0
 0  0  0  0  0  0  4  0  0  4  4  4  4  4  4  4  0  0  0  0
 0  0  0  0  0  0  0  4  0  4  0  4  0  4  4  4  0  4  4  0
 0  0  0  0  0  0  0  0  4  4  4  0  0  4  4  4  4  4  0  0

generates a code of length 20 over Z8 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+59x^12+70x^13+197x^14+548x^15+1185x^16+2620x^17+3335x^18+5924x^19+4758x^20+6136x^21+3386x^22+2444x^23+1150x^24+644x^25+230x^26+44x^27+15x^28+2x^29+17x^30+3x^34

The gray image is a code over GF(2) with n=80, k=15 and d=24.
This code was found by Heurico 1.16 in 3.38 seconds.