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

generates a code of length 67 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 120.

Homogenous weight enumerator: w(x)=1x^0+28x^120+36x^121+144x^122+116x^123+324x^124+588x^125+456x^126+1296x^127+1740x^128+1928x^129+2502x^130+5472x^131+5152x^132+4074x^133+8268x^134+6538x^135+4956x^136+6306x^137+3564x^138+2040x^139+1920x^140+300x^141+732x^142+270x^143+30x^144+66x^145+54x^146+22x^147+12x^148+24x^149+34x^150+10x^153+18x^156+14x^159+8x^162+2x^165+4x^171

The gray image is a code over GF(3) with n=603, k=10 and d=360.
This code was found by Heurico 1.16 in 10.3 seconds.