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

generates a code of length 35 over Z3[X]/(X^2) who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+46x^54+162x^57+216x^60+248x^63+648x^65+252x^66+972x^68+212x^69+1944x^71+212x^72+810x^74+218x^75+296x^78+168x^81+122x^84+32x^87+2x^93

The gray image is a linear code over GF(3) with n=105, k=8 and d=54.
This code was found by Heurico 1.16 in 0.519 seconds.