The generator matrix

 1  0  0  0  0  1  1  1  6  1  1  1
 0  1  0  0  0  1  0  1  1  3  4  0
 0  0  1  0  0  8  1  8  6  7  6  4
 0  0  0  1  0  8  8  1  6  3  7  7
 0  0  0  0  1  8  4  3  7  1  3  3
 0  0  0  0  0  6  3  0  6  6  3  6

generates a code of length 12 over Z9 who´s minimum homogenous weight is 13.

Homogenous weight enumerator: w(x)=1x^0+96x^13+126x^14+512x^15+900x^16+1260x^17+3316x^18+5184x^19+7470x^20+15576x^21+15324x^22+19800x^23+30950x^24+20376x^25+19800x^26+19920x^27+9936x^28+4032x^29+1866x^30+672x^31+20x^33+10x^36

The gray image is a code over GF(3) with n=36, k=11 and d=13.
This code was found by Heurico 1.13 in 4.16 seconds.