The generator matrix

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

generates a code of length 25 over Z7[X]/(X^2) who´s minimum homogenous weight is 139.

Homogenous weight enumerator: w(x)=1x^0+756x^139+9360x^140+2520x^141+1176x^144+3780x^146+25086x^147+3780x^148+8232x^150+7056x^151+7812x^153+41994x^154+6048x^155+24x^168+24x^175

The gray image is a linear code over GF(7) with n=175, k=6 and d=139.
This code was found by Heurico 1.16 in 1.43 seconds.