The generator matrix

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

generates a code of length 43 over Z7[X]/(X^2) who´s minimum homogenous weight is 244.

Homogenous weight enumerator: w(x)=1x^0+2982x^244+2634x^245+42x^246+462x^247+1218x^248+3192x^249+1764x^250+10710x^251+6894x^252+504x^253+2604x^254+3444x^255+5376x^256+1764x^257+14910x^258+11736x^259+1512x^260+5166x^261+5628x^262+7896x^263+2646x^264+16674x^265+7818x^266+30x^273+24x^280+6x^287+12x^294

The gray image is a linear code over GF(7) with n=301, k=6 and d=244.
This code was found by Heurico 1.16 in 3.05 seconds.