The generator matrix

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

generates a code of length 7 over Z7[X]/(X^2) who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+210x^28+294x^30+378x^35+10290x^36+3528x^37+29820x^42+61740x^43+10584x^44+804x^49

The gray image is a linear code over GF(7) with n=49, k=6 and d=28.
This code was found by Heurico 1.16 in 0.175 seconds.