The generator matrix

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

generates a code of length 51 over Z3[X]/(X^2) who´s minimum homogenous weight is 94.

Homogenous weight enumerator: w(x)=1x^0+162x^94+184x^96+300x^97+176x^99+258x^100+222x^103+272x^105+270x^106+62x^108+174x^109+48x^112+24x^114+24x^115+2x^123+4x^126+4x^132

The gray image is a linear code over GF(3) with n=153, k=7 and d=94.
This code was found by Heurico 1.16 in 0.0897 seconds.