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

generates a code of length 41 over Z7[X]/(X^2) who´s minimum homogenous weight is 210.

Homogenous weight enumerator: w(x)=1x^0+180x^210+924x^217+1434x^224+294x^228+1776x^231+5292x^235+2088x^238+31752x^242+2538x^245+63504x^249+2784x^252+2310x^259+1734x^266+846x^273+168x^280+24x^287

The gray image is a linear code over GF(7) with n=287, k=6 and d=210.
This code was found by Heurico 1.16 in 8.43 seconds.