The generator matrix

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

generates a code of length 43 over Z7[X]/(X^2) who´s minimum homogenous weight is 249.

Homogenous weight enumerator: w(x)=1x^0+2100x^249+1890x^250+102x^252+3150x^256+1512x^257+198x^259+5040x^263+2772x^264+30x^266+6x^287+6x^301

The gray image is a linear code over GF(7) with n=301, k=5 and d=249.
This code was found by Heurico 1.16 in 0.0751 seconds.