The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+90x^21+406x^24+486x^26+1394x^27+1458x^28+1944x^29+6918x^30+2916x^31+1944x^32+1834x^33+234x^36+48x^39+10x^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 3.19 seconds.