The generator matrix

 1  1  1  1  1  1  1  1  1  1  X  1
 0  X  0  6 2X X+3  X 2X  6 X+6  X  6
 0  0  X 2X+3  6 2X+3 X+6 2X+6  6 2X+6  X 2X+6

generates a code of length 12 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+84x^20+26x^21+324x^22+90x^23+1000x^24+432x^25+108x^26+20x^27+54x^28+42x^29+4x^30+2x^33

The gray image is a code over GF(3) with n=108, k=7 and d=60.
This code was found by Heurico 1.16 in 0.0166 seconds.