The generator matrix

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

generates a code of length 37 over Z3[X]/(X^2) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+1162x^60+5000x^63+11606x^66+23454x^69+37134x^72+42450x^75+33812x^78+16726x^81+4952x^84+754x^87+78x^90+12x^93+2x^96+2x^99+2x^102

The gray image is a linear code over GF(3) with n=111, k=11 and d=60.
This code was found by Heurico 1.16 in 319 seconds.