The generator matrix

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

generates a code of length 25 over Z7[X]/(X^2) who´s minimum homogenous weight is 133.

Homogenous weight enumerator: w(x)=1x^0+354x^133+480x^140+2058x^144+462x^147+12348x^151+366x^154+420x^161+240x^168+78x^175

The gray image is a linear code over GF(7) with n=175, k=5 and d=133.
This code was found by Heurico 1.16 in 0.0941 seconds.