The generator matrix

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

generates a code of length 54 over Z3[X]/(X^2) who´s minimum homogenous weight is 101.

Homogenous weight enumerator: w(x)=1x^0+204x^101+150x^102+408x^104+206x^105+294x^107+112x^108+162x^110+118x^111+162x^113+74x^114+150x^116+32x^117+30x^119+18x^120+42x^122+8x^123+6x^125+8x^126+2x^138

The gray image is a linear code over GF(3) with n=162, k=7 and d=101.
This code was found by Heurico 1.13 in 0.048 seconds.