The generator matrix

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

generates a code of length 66 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 123.

Homogenous weight enumerator: w(x)=1x^0+108x^123+288x^124+390x^125+828x^126+918x^127+1062x^128+1372x^129+1410x^130+1908x^131+2242x^132+2058x^133+2094x^134+1908x^135+1338x^136+780x^137+428x^138+264x^139+54x^140+76x^141+30x^142+18x^143+54x^144+12x^145+12x^146+16x^147+2x^150+8x^153+2x^156+2x^168

The gray image is a code over GF(3) with n=594, k=9 and d=369.
This code was found by Heurico 1.16 in 1.23 seconds.