The generator matrix

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

generates a code of length 45 over Z7[X]/(X^2) who´s minimum homogenous weight is 261.

Homogenous weight enumerator: w(x)=1x^0+1260x^261+3150x^262+174x^266+1890x^268+2520x^269+138x^273+3024x^275+4620x^276+18x^280+6x^287+6x^315

The gray image is a linear code over GF(7) with n=315, k=5 and d=261.
This code was found by Heurico 1.16 in 0.0796 seconds.