The generator matrix

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

generates a code of length 66 over Z7[X]/(X^2) who´s minimum homogenous weight is 385.

Homogenous weight enumerator: w(x)=1x^0+72x^385+1302x^386+1176x^388+2646x^389+114x^392+2520x^393+1176x^395+882x^396+66x^399+756x^400+1764x^402+2646x^403+30x^406+1596x^407+42x^413+18x^420

The gray image is a linear code over GF(7) with n=462, k=5 and d=385.
This code was found by Heurico 1.16 in 0.15 seconds.