The generator matrix

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

generates a code of length 9 over Z7[X]/(X^2) who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+126x^35+294x^42+2058x^48+384x^49+12348x^55+924x^56+672x^63

The gray image is a linear code over GF(7) with n=63, k=5 and d=35.
This code was found by Heurico 1.16 in 0.0164 seconds.