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

generates a code of length 40 over Z3[X]/(X^2) who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+32x^63+142x^66+212x^69+264x^72+486x^74+200x^75+972x^77+218x^78+1458x^80+206x^81+972x^83+220x^84+486x^86+236x^87+208x^90+132x^93+90x^96+18x^99+8x^102

The gray image is a linear code over GF(3) with n=120, k=8 and d=63.
This code was found by Heurico 1.16 in 0.632 seconds.