The generator matrix

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

generates a code of length 9 over Z7[X]/(X^2) who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+210x^28+588x^35+1638x^42+3828x^49+100842x^54+5628x^56+4914x^63

The gray image is a linear code over GF(7) with n=63, k=6 and d=28.
This code was found by Heurico 1.16 in 0.389 seconds.