The generator matrix

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

generates a code of length 66 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 120.

Homogenous weight enumerator: w(x)=1x^0+166x^120+90x^121+198x^122+666x^123+696x^124+1086x^125+1670x^126+2124x^127+3144x^128+4456x^129+5130x^130+5658x^131+6712x^132+6204x^133+5844x^134+5402x^135+4014x^136+2736x^137+1616x^138+612x^139+246x^140+240x^141+66x^142+36x^143+100x^144+18x^145+6x^146+44x^147+24x^150+14x^153+8x^156+8x^159+4x^162+10x^165

The gray image is a code over GF(3) with n=594, k=10 and d=360.
This code was found by Heurico 1.16 in 30.6 seconds.