The generator matrix

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

generates a code of length 37 over Z3[X]/(X^2) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+582x^66+1212x^69+1364x^72+1344x^75+1032x^78+766x^81+234x^84+24x^87+2x^90

The gray image is a linear code over GF(3) with n=111, k=8 and d=66.
This code was found by Heurico 1.16 in 14.2 seconds.