The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+55x^12+62x^13+137x^14+316x^15+553x^16+1556x^17+1343x^18+3164x^19+1942x^20+3296x^21+1402x^22+1364x^23+502x^24+460x^25+174x^26+20x^27+19x^28+2x^29+13x^30+3x^34

The gray image is a code over GF(2) with n=80, k=14 and d=24.
This code was found by Heurico 1.16 in 1.11 seconds.