The generator matrix

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

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+1288x^69+1226x^72+1270x^75+1278x^78+688x^81+196x^84+24x^87+2x^90+4x^93+2x^96

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 59.2 seconds.