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.