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

generates a code of length 45 over Z7[X]/(X^2) who´s minimum homogenous weight is 238.

Homogenous weight enumerator: w(x)=1x^0+660x^238+1194x^245+1782x^252+2142x^259+14406x^264+2160x^266+86436x^271+2466x^273+2514x^280+2154x^287+1212x^294+372x^301+144x^308+6x^315

The gray image is a linear code over GF(7) with n=315, k=6 and d=238.
This code was found by Heurico 1.16 in 9.37 seconds.