The generator matrix

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

generates a code of length 10 over Z7[X]/(X^2) who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+114x^35+732x^42+1692x^49+4782x^56+100842x^60+5862x^63+3624x^70

The gray image is a linear code over GF(7) with n=70, k=6 and d=35.
This code was found by Heurico 1.16 in 0.623 seconds.