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

generates a code of length 95 over Z7[X]/(X^2) who´s minimum homogenous weight is 546.

Homogenous weight enumerator: w(x)=1x^0+168x^546+558x^553+414x^560+2058x^564+408x^567+12348x^571+234x^574+162x^581+96x^588+90x^595+72x^602+54x^609+36x^616+54x^623+12x^630+12x^637+24x^644+6x^658

The gray image is a linear code over GF(7) with n=665, k=5 and d=546.
This code was found by Heurico 1.16 in 0.603 seconds.