The generator matrix

 1  0  0  1  1  1 2X  1  1  1  1  1  1 2X+6  1
 0  1  0  1 2X+6  8  1 X+7 2X+7  8 X+8  0 2X+1  1  0
 0  0  1  8 2X+7  8 2X+1 2X+5 2X+6 2X+1  1  1  3  7  0
 0  0  0 2X 2X+6  3 X+3 X+3 2X X+6 2X+6 X+6 X+3 2X+3  3

generates a code of length 15 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+162x^22+78x^23+1224x^24+1656x^25+4590x^26+5658x^27+24474x^28+17730x^29+46606x^30+45918x^31+17688x^32+7878x^33+3078x^34+252x^35+102x^36+42x^37+8x^39+2x^45

The gray image is a code over GF(3) with n=135, k=11 and d=66.
This code was found by Heurico 1.16 in 9.46 seconds.