The generator matrix

 1  0  0  0  1  1  1 2X  1  1  1  1  1 2X  1  1  0  1  1  0  1  1  1  1  X  1  1  1  0  1  1  1  1
 0  1  0  0  0  1 2X+1  1  0  X 2X+2 2X+2 X+2  X  2  1  1  1 X+2  1 2X  2  0  1 2X  2 2X+2 X+1  1 2X+2 2X+1 2X+1 2X
 0  0  1  0  1  1 2X+2 2X+1 X+1 2X+2 2X X+1  0  1  2  0 2X  1 X+1 X+1 2X X+2  X X+2  0 X+1  X  X X+1  X X+1  1 X+1
 0  0  0  1  2  0 2X+2 2X+2 2X+1 2X X+1 2X  2 X+1  0  1  2 X+2  1 X+1  2  2  1 X+2  1 X+1 2X+2  X  0 2X  1 2X  X
 0  0  0  0 2X  0 2X 2X  X  0  X  0 2X  X 2X 2X  X  X 2X 2X  0  0  0  X 2X  0  0  X  X  0 2X  X  X
 0  0  0  0  0  X  X  0 2X 2X 2X  0  X  X  X  0  0  X 2X 2X 2X  X  0  0  X  X  X  0 2X 2X  X  0 2X

generates a code of length 33 over Z3[X]/(X^2) who´s minimum homogenous weight is 53.

Homogenous weight enumerator: w(x)=1x^0+132x^53+236x^54+552x^55+804x^56+714x^57+1398x^58+1854x^59+1652x^60+3072x^61+3510x^62+2866x^63+4602x^64+5100x^65+3948x^66+5286x^67+5286x^68+3334x^69+4530x^70+3684x^71+1902x^72+1974x^73+1224x^74+546x^75+444x^76+258x^77+70x^78+12x^79+18x^80+24x^81+12x^84+2x^87+2x^90

The gray image is a linear code over GF(3) with n=99, k=10 and d=53.
This code was found by Heurico 1.16 in 19.7 seconds.