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

generates a code of length 66 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 122.

Homogenous weight enumerator: w(x)=1x^0+276x^122+296x^123+18x^124+738x^125+488x^126+144x^127+1710x^128+964x^129+918x^130+3756x^131+1594x^132+1548x^133+3756x^134+1242x^135+288x^136+702x^137+220x^138+342x^140+136x^141+240x^143+76x^144+108x^146+56x^147+36x^149+26x^150+2x^153+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 3.65 seconds.