The generator matrix

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

generates a code of length 6 over Z7[X]/(X^2) who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+90x^28+1764x^30+108x^35+4116x^36+10584x^37+144x^42

The gray image is a linear code over GF(7) with n=42, k=5 and d=28.
This code was found by Heurico 1.16 in 0.00339 seconds.