The generator matrix

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

generates a code of length 17 over Z7[X]/(X^2) who´s minimum homogenous weight is 91.

Homogenous weight enumerator: w(x)=1x^0+42x^91+168x^98+2058x^102+60x^105+24x^112+48x^119

The gray image is a linear code over GF(7) with n=119, k=4 and d=91.
This code was found by Heurico 1.16 in 0.00199 seconds.