The generator matrix

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

generates a code of length 46 over Z7[X]/(X^2) who´s minimum homogenous weight is 267.

Homogenous weight enumerator: w(x)=1x^0+840x^267+3780x^268+210x^273+1260x^274+3024x^275+108x^280+2016x^281+5544x^282+18x^287+6x^322

The gray image is a linear code over GF(7) with n=322, k=5 and d=267.
This code was found by Heurico 1.16 in 0.0981 seconds.