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

generates a code of length 90 over Z7[X]/(X^2) who´s minimum homogenous weight is 524.

Homogenous weight enumerator: w(x)=1x^0+2268x^524+5940x^525+1932x^526+1134x^527+588x^528+420x^529+546x^530+7476x^531+12432x^532+3570x^533+2268x^534+1176x^535+546x^536+546x^537+8274x^538+13344x^539+3570x^540+2268x^541+1176x^542+588x^543+504x^544+8400x^545+12234x^546+3234x^547+1764x^548+1176x^549+504x^550+462x^551+6510x^552+9876x^553+2100x^554+798x^555+6x^560+12x^567+6x^574

The gray image is a linear code over GF(7) with n=630, k=6 and d=524.
This code was found by Heurico 1.16 in 6.67 seconds.