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

generates a code of length 95 over Z7[X]/(X^2) who´s minimum homogenous weight is 560.

Homogenous weight enumerator: w(x)=1x^0+1422x^560+1848x^561+1554x^562+2496x^567+2142x^568+1344x^569+960x^574+756x^575+294x^576+1602x^581+1428x^582+924x^583+18x^588+12x^595+6x^602

The gray image is a linear code over GF(7) with n=665, k=5 and d=560.
This code was found by Heurico 1.16 in 0.303 seconds.