The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+103x^12+88x^14+128x^15+662x^16+896x^17+2232x^18+2048x^19+4083x^20+2048x^21+2184x^22+896x^23+704x^24+128x^25+104x^26+69x^28+9x^32+1x^36

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 1.01 seconds.