The generator matrix

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

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+42x^21+546x^22+300x^23+1558x^24+1410x^25+8604x^26+5238x^27+16092x^28+16884x^29+5338x^30+2226x^31+456x^32+206x^33+138x^34+8x^36+2x^39

The gray image is a code over GF(3) with n=126, k=10 and d=63.
This code was found by Heurico 1.16 in 1.27 seconds.