The generator matrix

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

generates a code of length 18 over Z7[X]/(X^2) who´s minimum homogenous weight is 96.

Homogenous weight enumerator: w(x)=1x^0+378x^96+3276x^97+2838x^98+1176x^102+4536x^103+16380x^104+7548x^105+14406x^108+7056x^109+13608x^110+33852x^111+12528x^112+24x^119+42x^126

The gray image is a linear code over GF(7) with n=126, k=6 and d=96.
This code was found by Heurico 1.16 in 0.898 seconds.