The generator matrix

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

generates a code of length 85 over Z7[X]/(X^2) who´s minimum homogenous weight is 483.

Homogenous weight enumerator: w(x)=1x^0+60x^483+924x^489+1962x^490+378x^491+630x^492+4284x^496+5040x^497+1764x^498+2142x^499+8820x^503+8298x^504+3024x^505+3024x^506+12684x^510+15822x^511+5670x^512+5586x^513+12852x^517+12162x^518+3570x^519+3024x^520+3654x^524+1836x^525+90x^532+120x^539+72x^546+60x^553+48x^560+36x^567+6x^581+6x^595

The gray image is a linear code over GF(7) with n=595, k=6 and d=483.
This code was found by Heurico 1.16 in 7.77 seconds.