The generator matrix

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

generates a code of length 59 over Z7[X]/(X^2) who´s minimum homogenous weight is 341.

Homogenous weight enumerator: w(x)=1x^0+8652x^341+4536x^342+426x^343+23436x^348+7560x^349+630x^350+25956x^355+8316x^356+840x^357+28392x^362+8400x^363+504x^364

The gray image is a linear code over GF(7) with n=413, k=6 and d=341.
This code was found by Heurico 1.16 in 24.3 seconds.