The generator matrix

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

generates a code of length 37 over Z3[X]/(X^2) who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+44x^57+162x^60+598x^63+1274x^66+2430x^69+4268x^72+4692x^75+3662x^78+1828x^81+498x^84+110x^87+82x^90+24x^93+8x^96+2x^102

The gray image is a linear code over GF(3) with n=111, k=9 and d=57.
This code was found by Heurico 1.16 in 3.04 seconds.