The generator matrix

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

generates a code of length 40 over Z7[X]/(X^2) who´s minimum homogenous weight is 217.

Homogenous weight enumerator: w(x)=1x^0+108x^217+42x^218+84x^219+42x^222+294x^223+1290x^224+1386x^225+1050x^226+756x^229+2646x^230+3780x^231+4410x^232+2520x^233+4536x^236+10290x^237+11778x^238+11550x^239+5880x^240+9072x^243+15582x^244+13626x^245+11424x^246+4872x^247+222x^252+186x^259+132x^266+60x^273+30x^280

The gray image is a linear code over GF(7) with n=280, k=6 and d=217.
This code was found by Heurico 1.16 in 3.22 seconds.