The generator matrix

 1  0  0  1  1  1  1  1  1  1  1 2X+3  6  3  1  1  0 2X  1 X+6  1  1  1  1  1  1  1  1  1  1  1  1 X+6  1  1 2X+3 X+6  1  1  1 X+3  0  1  3  1  1  1 2X+6  1  1  0  1  1  1  1  6 2X  1 X+6  X 2X+3  1  0  1  1
 0  1  0  0  6 2X+4  2  8 2X+2 2X+7 X+1  1  1  1 2X+4 2X+7 X+3  1 2X+2  1 2X+8 X+5 2X+3  6 X+1 X+7 2X+3  5 2X+8  X X+8  7  1  1 2X  1 X+6 2X+3  2  0  1  1  4  1 X+4 X+2  8  1 2X 2X+8  1 X+8 X+8 2X+2  1  1  1  5  6  1  1 X+7  3  7 2X+7
 0  0  1 2X+4  2  5 X+2  0 2X+7 X+7  6 2X+1 2X+2 2X+4  6 2X+4  1 2X+5 X+3 X+3 X+1  5  7 X+8  8 2X+8 X+6 2X X+8 X+2 2X+7 X+3 X+2 X+4 X+7  4  1  0  2  X 2X+2 2X+3  5 X+5  1  6  X  4 X+2  1 X+3 X+4 X+5 X+3  5 X+4 X+1 X+8  1 2X+7 X+1 2X+3  1 2X X+1
 0  0  0  3  3  3  3  3  3  3  3  0  0  6  0  6  6  3  0  3  0  0  0  0  0  6  6  6  6  6  6  6  6  0  6  3  3  3  6  0  3  6  6  0  0  6  3  0  0  3  0  6  3  3  0  6  3  6  3  6  0  0  3  3  6

generates a code of length 65 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 122.

Homogenous weight enumerator: w(x)=1x^0+804x^122+1442x^123+1980x^124+3570x^125+4138x^126+3474x^127+5490x^128+5962x^129+5058x^130+6252x^131+5756x^132+3906x^133+4092x^134+3264x^135+1332x^136+1464x^137+526x^138+288x^139+96x^140+20x^141+78x^143+22x^144+12x^146+10x^147+12x^149

The gray image is a code over GF(3) with n=585, k=10 and d=366.
This code was found by Heurico 1.16 in 7.26 seconds.