The generator matrix

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

generates a code of length 43 over Z7[X]/(X^2) who´s minimum homogenous weight is 224.

Homogenous weight enumerator: w(x)=1x^0+282x^224+1128x^231+1668x^238+1854x^245+2058x^246+2178x^252+24696x^253+2712x^259+74088x^260+2610x^266+2226x^273+1362x^280+636x^287+144x^294+6x^301

The gray image is a linear code over GF(7) with n=301, k=6 and d=224.
This code was found by Heurico 1.16 in 9 seconds.