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

generates a code of length 46 over Z7[X]/(X^2) who´s minimum homogenous weight is 238.

Homogenous weight enumerator: w(x)=1x^0+72x^238+756x^245+1344x^252+1764x^259+2058x^264+1992x^266+24696x^271+2382x^273+74088x^278+2640x^280+2280x^287+1986x^294+1020x^301+480x^308+90x^315

The gray image is a linear code over GF(7) with n=322, k=6 and d=238.
This code was found by Heurico 1.16 in 9.46 seconds.