The generator matrix

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

generates a code of length 34 over Z3[X]/(X^2) who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+234x^62+238x^63+408x^65+126x^66+318x^68+124x^69+192x^71+142x^72+240x^74+72x^75+60x^77+18x^78+6x^80+6x^81+2x^96

The gray image is a linear code over GF(3) with n=102, k=7 and d=62.
This code was found by Heurico 1.16 in 0.0438 seconds.