The generator matrix

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

generates a code of length 47 over Z7[X]/(X^2) who´s minimum homogenous weight is 259.

Homogenous weight enumerator: w(x)=1x^0+126x^259+378x^261+168x^265+1308x^266+1554x^267+2940x^268+1260x^272+3882x^273+4158x^274+7434x^275+5208x^279+11640x^280+11718x^281+18018x^282+7770x^286+13548x^287+11382x^288+14448x^289+294x^294+168x^301+84x^308+114x^315+48x^322

The gray image is a linear code over GF(7) with n=329, k=6 and d=259.
This code was found by Heurico 1.16 in 3.88 seconds.