The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+42x^12+54x^14+204x^15+162x^16+540x^17+1392x^18+1296x^19+2160x^20+6198x^21+3888x^22+4320x^23+16098x^24+5184x^25+4320x^26+8120x^27+2592x^28+1728x^29+618x^30+114x^33+18x^36

The gray image is a code over GF(3) with n=36, k=10 and d=12.
This code was found by Heurico 1.16 in 1.06 seconds.