The generator matrix

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

generates a code of length 10 over Z7[X]/(X^2) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+84x^42+384x^49+2058x^54+504x^56+12348x^61+924x^63+504x^70

The gray image is a linear code over GF(7) with n=70, k=5 and d=42.
This code was found by Heurico 1.16 in 0.022 seconds.