The generator matrix

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

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+54x^20+36x^21+282x^22+240x^23+726x^24+504x^25+2304x^26+1358x^27+576x^28+288x^29+54x^30+96x^31+30x^32+12x^33

The gray image is a code over GF(3) with n=117, k=8 and d=60.
This code was found by Heurico 1.16 in 0.0291 seconds.