The generator matrix

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

generates a code of length 65 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 117.

Homogenous weight enumerator: w(x)=1x^0+86x^117+162x^119+194x^120+510x^122+304x^123+1020x^125+828x^126+3492x^128+2202x^129+5586x^131+2268x^132+1662x^134+282x^135+498x^137+182x^138+108x^140+58x^141+72x^143+78x^144+6x^146+22x^147+6x^149+30x^150+8x^153+8x^156+4x^159+4x^162+2x^174

The gray image is a code over GF(3) with n=585, k=9 and d=351.
This code was found by Heurico 1.16 in 2.38 seconds.