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

generates a code of length 95 over Z7[X]/(X^2) who´s minimum homogenous weight is 554.

Homogenous weight enumerator: w(x)=1x^0+2436x^554+1470x^555+5880x^556+4494x^557+252x^558+336x^559+72x^560+7980x^561+3402x^562+9156x^563+6090x^564+714x^565+798x^566+114x^567+9240x^568+3612x^569+9618x^570+6048x^571+462x^572+336x^573+42x^574+7812x^575+3444x^576+7980x^577+4578x^578+630x^579+588x^580+102x^581+7518x^582+2478x^583+6468x^584+3486x^585+6x^595+6x^602

The gray image is a linear code over GF(7) with n=665, k=6 and d=554.
This code was found by Heurico 1.16 in 9.36 seconds.