The generator matrix

 1  0  1  1  1  1  1
 0  1 a^6*X+1  a a^6*X+a^2 a^3 a^6*X+a^4

generates a code of length 7 over F8[X]/(X^2) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+392x^42+49x^48+896x^49+2744x^50+14x^56

The gray image is a linear code over GF(8) with n=56, k=4 and d=42.
This code was found by Heurico 1.16 in 0.000274 seconds.