The generator matrix

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

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+144x^42+588x^48+1110x^49+6174x^54+7056x^55+5022x^56+28812x^60+37044x^61+21168x^62+10050x^63+480x^70

The gray image is a linear code over GF(7) with n=70, k=6 and d=42.
This code was found by Heurico 1.16 in 0.411 seconds.