The generator matrix

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

generates a code of length 93 over Z7[X]/(X^2) who´s minimum homogenous weight is 545.

Homogenous weight enumerator: w(x)=1x^0+462x^545+48x^546+630x^549+2646x^551+3822x^552+114x^553+672x^556+882x^558+1848x^559+90x^560+294x^563+2646x^565+630x^566+60x^567+462x^570+1470x^573+12x^574+18x^602

The gray image is a linear code over GF(7) with n=651, k=5 and d=545.
This code was found by Heurico 1.16 in 0.293 seconds.