The generator matrix

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

generates a code of length 51 over Z3[X]/(X^2) who´s minimum homogenous weight is 98.

Homogenous weight enumerator: w(x)=1x^0+168x^98+108x^99+162x^101+66x^102+78x^104+24x^105+24x^107+26x^108+30x^110+6x^111+12x^113+12x^114+6x^116+6x^119

The gray image is a linear code over GF(3) with n=153, k=6 and d=98.
This code was found by Heurico 1.13 in 0.0188 seconds.