The generator matrix

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

generates a code of length 41 over Z3[X]/(X^2) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+64x^66+146x^69+268x^72+410x^75+948x^78+1672x^81+1678x^84+790x^87+226x^90+162x^93+104x^96+72x^99+8x^102+10x^105+2x^108

The gray image is a linear code over GF(3) with n=123, k=8 and d=66.
This code was found by Heurico 1.16 in 0.698 seconds.