The generator matrix

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

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+840x^133+420x^134+1176x^138+4338x^140+1680x^141+14112x^145+15948x^147+5670x^148+42336x^152+23808x^154+6636x^155+342x^161+270x^168+72x^175

The gray image is a linear code over GF(7) with n=175, k=6 and d=133.
This code was found by Heurico 1.16 in 78.5 seconds.