The generator matrix

 1  0  1  1  1  1  1  0  1  1  1  1  1
 0  1  1  8  0  1  8  1  0  0  0  0  0
 0  0  6  0  0  0  0  0  0  3  3  3  0
 0  0  0  3  0  0  0  0  3  6  6  6  3
 0  0  0  0  3  0  0  0  6  6  6  3  6
 0  0  0  0  0  6  0  0  6  6  3  0  6
 0  0  0  0  0  0  3  0  6  3  6  3  3
 0  0  0  0  0  0  0  3  3  0  3  0  3

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

Homogenous weight enumerator: w(x)=1x^0+64x^12+276x^15+924x^18+2562x^21+4374x^22+4758x^24+17496x^25+5564x^27+17496x^28+3828x^30+1446x^33+234x^36+26x^39

The gray image is a code over GF(3) with n=39, k=10 and d=12.
This code was found by Heurico 1.16 in 1.11 seconds.