The generator matrix

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

generates a code of length 36 over Z3[X]/(X^2) who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+82x^57+30x^58+264x^60+150x^61+96x^62+546x^63+258x^64+324x^65+1054x^66+654x^67+666x^68+2066x^69+834x^70+1248x^71+2696x^72+1050x^73+1188x^74+2238x^75+762x^76+684x^77+1318x^78+474x^79+168x^80+424x^81+150x^82+128x^84+12x^85+76x^87+32x^90+8x^93+2x^96

The gray image is a linear code over GF(3) with n=108, k=9 and d=57.
This code was found by Heurico 1.16 in 3.07 seconds.