The generator matrix

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

generates a code of length 13 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+96x^21+216x^22+1348x^24+864x^25+486x^26+2526x^27+864x^28+154x^30+2x^33+2x^36+2x^39

The gray image is a code over GF(3) with n=117, k=8 and d=63.
This code was found by Heurico 1.16 in 0.0205 seconds.