The generator matrix

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

generates a code of length 49 over Z7[X]/(X^2) who´s minimum homogenous weight is 280.

Homogenous weight enumerator: w(x)=1x^0+2778x^280+3150x^281+2142x^282+504x^284+2520x^285+1764x^286+10212x^287+8736x^288+5376x^289+1344x^291+3780x^292+1764x^293+12846x^294+13062x^295+6636x^296+2268x^298+6048x^299+2646x^300+15600x^301+10038x^302+4368x^303+36x^308+12x^315+6x^329+12x^336

The gray image is a linear code over GF(7) with n=343, k=6 and d=280.
This code was found by Heurico 1.16 in 3.36 seconds.