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

generates a code of length 93 over Z7[X]/(X^2) who´s minimum homogenous weight is 532.

Homogenous weight enumerator: w(x)=1x^0+210x^532+1848x^538+1416x^539+1890x^540+6090x^545+3996x^546+6384x^547+9156x^552+6090x^553+9198x^554+10122x^559+11046x^560+16632x^561+11298x^566+7908x^567+9114x^568+4704x^573+126x^574+96x^581+78x^588+78x^595+84x^602+48x^609+12x^616+12x^623+6x^637+6x^644

The gray image is a linear code over GF(7) with n=651, k=6 and d=532.
This code was found by Heurico 1.16 in 8.42 seconds.