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

generates a code of length 40 over Z7[X]/(X^2) who´s minimum homogenous weight is 203.

Homogenous weight enumerator: w(x)=1x^0+144x^203+732x^210+1374x^217+1698x^224+2028x^231+14406x^234+2724x^238+86436x^241+2562x^245+2622x^252+1740x^259+930x^266+228x^273+24x^280

The gray image is a linear code over GF(7) with n=280, k=6 and d=203.
This code was found by Heurico 1.16 in 8.1 seconds.