The generator matrix

 1  0  0  0  1  1  1  1  1  1  1  1
 0  1  0  0  1  6  1  5  0  4  7  0
 0  0  1  0  8  7  3  7  0  4  4  0
 0  0  0  1  8  5  7  3  8  0  6  0
 0  0  0  0  6  6  0  3  3  6  0  3

generates a code of length 12 over Z9 who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+90x^15+102x^16+126x^17+582x^18+426x^19+612x^20+2064x^21+1308x^22+1620x^23+4980x^24+1572x^25+1710x^26+2948x^27+924x^28+306x^29+258x^30+42x^31+6x^33+6x^36

The gray image is a code over GF(3) with n=36, k=9 and d=15.
This code was found by Heurico 1.13 in 0.156 seconds.