The generator matrix

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

generates a code of length 91 over Z7[X]/(X^2) who´s minimum homogenous weight is 525.

Homogenous weight enumerator: w(x)=1x^0+366x^525+600x^532+348x^539+14724x^546+186x^553+168x^560+96x^567+84x^574+72x^581+72x^588+30x^595+24x^602+6x^609+18x^616+6x^630+6x^637

The gray image is a linear code over GF(7) with n=637, k=5 and d=525.
This code was found by Heurico 1.16 in 0.682 seconds.