The generator matrix

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

generates a code of length 41 over Z7[X]/(X^2) who´s minimum homogenous weight is 237.

Homogenous weight enumerator: w(x)=1x^0+2940x^237+690x^238+4410x^244+696x^245+7056x^251+1002x^252+6x^280+6x^287

The gray image is a linear code over GF(7) with n=287, k=5 and d=237.
This code was found by Heurico 1.16 in 0.0706 seconds.