The generator matrix

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

generates a code of length 47 over Z7[X]/(X^2) who´s minimum homogenous weight is 273.

Homogenous weight enumerator: w(x)=1x^0+1296x^273+1890x^274+1764x^275+2076x^280+1512x^281+588x^282+3114x^287+2772x^288+1764x^289+18x^294+6x^301+6x^315

The gray image is a linear code over GF(7) with n=329, k=5 and d=273.
This code was found by Heurico 1.16 in 0.0865 seconds.