The generator matrix

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

generates a code of length 46 over Z7[X]/(X^2) who´s minimum homogenous weight is 262.

Homogenous weight enumerator: w(x)=1x^0+2814x^262+3696x^263+42x^264+378x^265+1122x^266+2478x^267+1806x^268+9618x^269+10920x^270+504x^271+1890x^272+2808x^273+3864x^274+1680x^275+13482x^276+14112x^277+1512x^278+3906x^279+4554x^280+6006x^281+2688x^282+15246x^283+12432x^284+36x^287+24x^294+18x^301+6x^308+6x^315

The gray image is a linear code over GF(7) with n=322, k=6 and d=262.
This code was found by Heurico 1.16 in 3.12 seconds.