The generator matrix

 1  0  0  1  1  1  6  1  1  0  1  1  2  0  4  0  2  2  0  0
 0  1  0  1  6  3  1  0  1  1  2  3  1  0  2  1  1  1  1  2
 0  0  1  1  3  6  3  6  3  6  1  0  1  1  1  0  1  2  0  0
 0  0  0  4  0  0  0  0  0  0  4  0  4  0  4  0  0  0  4  4
 0  0  0  0  4  0  0  0  0  0  4  0  0  4  4  0  0  4  4  0
 0  0  0  0  0  4  0  0  0  0  0  4  0  4  4  0  4  4  0  0
 0  0  0  0  0  0  4  0  0  0  0  0  4  4  4  4  4  4  4  0
 0  0  0  0  0  0  0  4  0  0  0  4  4  4  0  0  0  0  4  4
 0  0  0  0  0  0  0  0  4  0  4  0  4  4  0  0  4  4  0  0
 0  0  0  0  0  0  0  0  0  4  4  4  0  4  0  4  0  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+176x^12+32x^13+544x^14+480x^15+3434x^16+2976x^17+9184x^18+8800x^19+14272x^20+8800x^21+9184x^22+2976x^23+3464x^24+480x^25+544x^26+32x^27+144x^28+13x^32

The gray image is a code over GF(2) with n=80, k=16 and d=24.
This code was found by Heurico 1.16 in 13 seconds.