The generator matrix

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

generates a code of length 7 over Z7[X]/(X^2) who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+126x^35+2058x^36+2142x^42+12348x^43+132x^49

The gray image is a linear code over GF(7) with n=49, k=5 and d=35.
This code was found by Heurico 1.16 in 0.00361 seconds.