The generator matrix

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

generates a code of length 66 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 121.

Homogenous weight enumerator: w(x)=1x^0+162x^121+222x^122+426x^123+1092x^124+1548x^125+1506x^126+2634x^127+3186x^128+3554x^129+5550x^130+5976x^131+5424x^132+6864x^133+6084x^134+4364x^135+4230x^136+2742x^137+1200x^138+1002x^139+516x^140+136x^141+204x^142+72x^143+110x^144+66x^145+48x^146+28x^147+54x^148+18x^149+6x^150+12x^151+4x^153+4x^156+2x^159+2x^165

The gray image is a code over GF(3) with n=594, k=10 and d=363.
This code was found by Heurico 1.16 in 10.3 seconds.