The generator matrix

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

generates a code of length 8 over Z7[X]/(X^2) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+258x^42+84x^43+294x^48+1548x^49+210x^50+6x^56

The gray image is a linear code over GF(7) with n=56, k=4 and d=42.
This code was found by Heurico 1.16 in 0.00033 seconds.