The generator matrix

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

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+58x^21+54x^22+138x^24+324x^25+1458x^26+188x^27+648x^28+2916x^29+220x^30+432x^31+96x^33+18x^36+10x^39

The gray image is a code over GF(3) with n=126, k=8 and d=63.
This code was found by Heurico 1.16 in 0.212 seconds.