The generator matrix

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

generates a code of length 13 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+108x^20+108x^21+552x^22+528x^23+2612x^24+1584x^25+6408x^26+5148x^27+1656x^28+720x^29+138x^30+96x^31+12x^32+10x^33+2x^36

The gray image is a code over GF(3) with n=117, k=9 and d=60.
This code was found by Heurico 1.16 in 0.141 seconds.