The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  1  1  3 5X+2  6  0 5X+1  3 5X+2  X X+3 5X+1 X+3  X 4X+1 4X+2 4X+2
 0  0 5X 3X 6X  X 2X 4X 6X 3X  X 5X 6X 2X 4X  X  0 2X

generates a code of length 18 over Z7[X]/(X^2) who´s minimum homogenous weight is 98.

Homogenous weight enumerator: w(x)=1x^0+1086x^98+588x^102+2820x^105+4116x^108+3528x^109+4590x^112+48x^119+30x^126

The gray image is a linear code over GF(7) with n=126, k=5 and d=98.
This code was found by Heurico 1.16 in 12.5 seconds.