The generator matrix

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

generates a code of length 36 over Z3[X]/(X^2) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+936x^60+3366x^63+6558x^66+10932x^69+13594x^72+12906x^75+7704x^78+2660x^81+354x^84+30x^87+6x^90+2x^99

The gray image is a linear code over GF(3) with n=108, k=10 and d=60.
This code was found by Heurico 1.16 in 48.3 seconds.