The generator matrix

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

generates a code of length 66 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 121.

Homogenous weight enumerator: w(x)=1x^0+150x^121+510x^122+1720x^123+2934x^124+3816x^125+6244x^126+8640x^127+8556x^128+11964x^129+15114x^130+14568x^131+19750x^132+19728x^133+16470x^134+16142x^135+12300x^136+7284x^137+5154x^138+3150x^139+1062x^140+820x^141+486x^142+156x^143+120x^144+138x^145+36x^146+36x^147+36x^148+24x^149+12x^150+18x^151+6x^152+2x^153

The gray image is a code over GF(3) with n=594, k=11 and d=363.
This code was found by Heurico 1.16 in 67.7 seconds.