The generator matrix

 1  0  0  0  1  1  1 2X+3  1  3  1  1  1  1  1
 0  1  0  0 2X+3  4 2X+1  1  6  1 2X+4 X+1 2X  8  3
 0  0  1  0 2X+4  4 2X+8 X+4 X+3 2X+3 X+2  7  5  0 X+3
 0  0  0  1 2X+2 X+3 X+8 X+2  7  1  X 2X+4  8  6  3

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

Homogenous weight enumerator: w(x)=1x^0+378x^22+234x^23+3502x^24+3858x^25+14958x^26+19238x^27+74166x^28+57942x^29+122992x^30+142506x^31+57816x^32+25896x^33+7014x^34+756x^35+162x^36+12x^37+8x^39+2x^42

The gray image is a code over GF(3) with n=135, k=12 and d=66.
This code was found by Heurico 1.16 in 61.8 seconds.