The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  X  1
 0  X  0  0  3  X X+3  X  3 X+3 2X+3  0 2X X+3
 0  0  X  0 X+3 2X 2X  6 2X X+6  X  6  0 2X
 0  0  0  X 2X+3 X+6 2X+6 X+3  3 X+3  X 2X+3  3  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+92x^21+234x^22+240x^23+470x^24+366x^25+1968x^26+854x^27+9378x^28+3780x^29+972x^30+594x^31+318x^32+274x^33+120x^34+12x^35+6x^36+4x^39

The gray image is a code over GF(3) with n=126, k=9 and d=63.
This code was found by Heurico 1.16 in 0.263 seconds.