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.