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

generates a code of length 42 over Z7[X]/(X^2) who´s minimum homogenous weight is 217.

Homogenous weight enumerator: w(x)=1x^0+192x^217+1008x^224+1524x^231+1812x^238+2208x^245+14406x^246+2736x^252+86436x^253+2664x^259+2232x^266+1638x^273+588x^280+186x^287+18x^294

The gray image is a linear code over GF(7) with n=294, k=6 and d=217.
This code was found by Heurico 1.16 in 8.7 seconds.