The generator matrix

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

generates a code of length 91 over Z7[X]/(X^2) who´s minimum homogenous weight is 530.

Homogenous weight enumerator: w(x)=1x^0+1764x^530+5376x^531+3420x^532+1092x^533+672x^534+1260x^535+5712x^537+10206x^538+7896x^539+1470x^540+2394x^541+1638x^542+5880x^544+10416x^545+7776x^546+1638x^547+1134x^548+1764x^549+6384x^551+11130x^552+5364x^553+1176x^554+1974x^555+1512x^556+4956x^558+8148x^559+4662x^560+798x^561+18x^567+18x^574

The gray image is a linear code over GF(7) with n=637, k=6 and d=530.
This code was found by Heurico 1.16 in 6.79 seconds.