The generator matrix

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

generates a code of length 15 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 23.

Homogenous weight enumerator: w(x)=1x^0+132x^23+1602x^24+1872x^25+6102x^26+7758x^27+20202x^28+23616x^29+38908x^30+39564x^31+23844x^32+10600x^33+2466x^34+252x^35+170x^36+48x^37+8x^39+2x^42

The gray image is a code over GF(3) with n=135, k=11 and d=69.
This code was found by Heurico 1.16 in 58.7 seconds.