The generator matrix

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

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+378x^22+186x^23+3502x^24+3990x^25+15546x^26+18086x^27+73260x^28+60678x^29+122398x^30+140058x^31+60492x^32+24708x^33+7296x^34+636x^35+180x^36+36x^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 77.4 seconds.