The generator matrix

 1  0  0  1  1  1  1  1 X+3  1  1  1
 0  1  0 2X+3  1 2X+4  2 X+2  1  6 2X+7 X+3
 0  0  1 2X+4  1 2X+2 X+3  2 2X+2  5 2X 2X+6

generates a code of length 12 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 19.

Homogenous weight enumerator: w(x)=1x^0+42x^19+696x^20+634x^21+2310x^22+2508x^23+5610x^24+4542x^25+2616x^26+638x^27+72x^28+12x^29+2x^30

The gray image is a code over GF(3) with n=108, k=9 and d=57.
This code was found by Heurico 1.16 in 0.0776 seconds.