The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1  1  1  1  1  X  1  1  1  X  X  3  1  1  6  1  1  X  1  1  1  1  1  1  1  X
 0  X  0  0  0 2X X+3 2X+3  X 2X+3  3  3 X+3 2X+3 2X X+3 X+3 X+3 2X+3 X+6  0 X+6 2X 2X+3 2X+3  3  3 2X  X 2X X+6 2X+3 2X+6  6  0  X  0  X  3 2X+3 X+6 X+3 2X+3 2X X+3 X+3  3 2X 2X+6 2X 2X+3  X 2X  3  X 2X X+3  6 X+3  3 2X+3  0  6  X  3 2X+3
 0  0  X  0  6  3  6  3  0  0 X+3 2X+6 2X+6 2X+3 X+6  X 2X  X 2X+6  X 2X+6 2X+6 X+3 X+3 2X+3 X+6 2X+3  3 2X+6 X+3 X+6 2X+3 X+6 2X+6 2X X+3 X+3  6  3  0 2X+6  6 2X X+3 2X+3  3 2X+3  0 2X 2X+6 X+3 X+3 2X+3 X+6 2X+6  3  3  X X+6 2X  6  X  6  3  6  0
 0  0  0  X 2X+3  0 2X X+6  X 2X 2X+3  6  3  0  6 X+6 X+6  3 2X+6 2X 2X 2X+6 2X X+6  X X+3 X+6  X 2X+6 2X+3  3 X+3  3  0  X X+6 X+3 2X+6  X X+6  0  6 2X+3 X+3 2X  6  3 X+3  0  6  6 2X+3 2X 2X+6 2X+3 2X+3 2X+3  X  X 2X  0  X X+6 X+3 2X+6 X+6

generates a code of length 66 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 122.

Homogenous weight enumerator: w(x)=1x^0+264x^122+240x^123+798x^125+488x^126+414x^127+1356x^128+1206x^129+1188x^130+2448x^131+2778x^132+2214x^133+2514x^134+1288x^135+558x^136+570x^137+234x^138+372x^140+198x^141+282x^143+68x^144+108x^146+52x^147+30x^149+6x^150+6x^152+2x^174

The gray image is a code over GF(3) with n=594, k=9 and d=366.
This code was found by Heurico 1.16 in 28.4 seconds.