The generator matrix

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

generates a code of length 65 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 119.

Homogenous weight enumerator: w(x)=1x^0+1128x^119+2194x^120+4692x^121+8904x^122+12320x^123+16200x^124+23178x^125+27636x^126+35850x^127+46500x^128+48428x^129+52686x^130+59448x^131+51388x^132+43554x^133+38670x^134+25184x^135+15690x^136+9786x^137+4278x^138+2268x^139+876x^140+300x^141+78x^142+54x^143+60x^144+48x^145+6x^146+6x^147+6x^148+18x^149+6x^150

The gray image is a code over GF(3) with n=585, k=12 and d=357.
This code was found by Heurico 1.16 in 552 seconds.