The generator matrix

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

generates a code of length 14 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+100x^21+1218x^22+774x^23+5552x^24+5814x^25+22008x^26+21370x^27+46098x^28+43110x^29+21606x^30+7962x^31+1152x^32+208x^33+144x^34+24x^35+4x^36+2x^39

The gray image is a code over GF(3) with n=126, k=11 and d=63.
This code was found by Heurico 1.16 in 7.34 seconds.