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

generates a code of length 54 over Z3[X]/(X^2) who´s minimum homogenous weight is 99.

Homogenous weight enumerator: w(x)=1x^0+292x^99+54x^102+324x^105+876x^108+432x^111+126x^117+72x^126+8x^135+2x^153

The gray image is a linear code over GF(3) with n=162, k=7 and d=99.
This code was found by Heurico 1.16 in 40.6 seconds.