The generator matrix

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

generates a code of length 15 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+40x^21+30x^22+72x^23+266x^24+102x^25+234x^26+824x^27+1902x^28+486x^29+10024x^30+3588x^31+468x^32+1010x^33+168x^34+198x^35+210x^36+42x^37+16x^39+2x^42

The gray image is a code over GF(3) with n=135, k=9 and d=63.
This code was found by Heurico 1.16 in 0.261 seconds.