The generator matrix

 1  1  1  1  1  1  1  1  2  2  2  0  2  2  2  1  1  4  2  0
 0  2  0  0  0  2  6  2  0  0  2  2  4  2  6  4  4  0  2  2
 0  0  2  0  2  2  6  0  0  2  2  0  2  0  2  4  4  2  0  2
 0  0  0  2  2  0  6  2  2  2  0  0  0  6  2  2  4  6  6  2
 0  0  0  0  4  0  0  0  0  0  0  0  0  4  4  4  4  4  0  0
 0  0  0  0  0  4  0  0  0  0  0  4  0  4  4  4  0  0  4  0
 0  0  0  0  0  0  4  0  0  0  0  4  4  0  4  0  0  4  4  0
 0  0  0  0  0  0  0  4  0  0  0  0  4  4  4  4  0  0  0  4
 0  0  0  0  0  0  0  0  4  0  4  4  4  4  4  4  4  0  4  4
 0  0  0  0  0  0  0  0  0  4  0  0  4  4  0  0  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+240x^12+724x^14+192x^15+2626x^16+1216x^17+5176x^18+2688x^19+7032x^20+2688x^21+5152x^22+1216x^23+2704x^24+192x^25+712x^26+184x^28+12x^30+13x^32

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 5.71 seconds.