The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+96x^12+84x^13+260x^14+338x^15+517x^16+1058x^17+1645x^18+2594x^19+3132x^20+2634x^21+1680x^22+1094x^23+530x^24+310x^25+234x^26+70x^27+76x^28+10x^29+20x^30+1x^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 2.07 seconds.