The generator matrix

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

generates a code of length 25 over Z7[X]/(X^2) who´s minimum homogenous weight is 140.

Homogenous weight enumerator: w(x)=1x^0+2076x^140+5544x^147+9132x^154+12x^161+24x^168+18x^175

The gray image is a linear code over GF(7) with n=175, k=5 and d=140.
This code was found by Heurico 1.16 in 0.659 seconds.