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

generates a code of length 92 over Z7[X]/(X^2) who´s minimum homogenous weight is 536.

Homogenous weight enumerator: w(x)=1x^0+1806x^536+4830x^537+3444x^538+2388x^539+840x^540+588x^542+4452x^543+12054x^544+6258x^545+3684x^546+1890x^547+420x^549+5040x^550+12432x^551+5838x^552+4008x^553+1638x^554+630x^556+4620x^557+11382x^558+5166x^559+2958x^560+1806x^561+420x^563+4662x^564+8694x^565+3990x^566+1686x^567+18x^581+6x^588

The gray image is a linear code over GF(7) with n=644, k=6 and d=536.
This code was found by Heurico 1.16 in 7.79 seconds.