The generator matrix

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

generates a code of length 37 over Z7[X]/(X^2) who´s minimum homogenous weight is 208.

Homogenous weight enumerator: w(x)=1x^0+2814x^208+246x^210+504x^211+2436x^212+5292x^213+2898x^214+9534x^215+294x^216+2130x^217+2520x^218+6888x^219+8526x^220+3024x^221+13650x^222+1764x^223+6084x^224+5208x^225+11256x^226+12936x^227+4368x^228+15162x^229+60x^231+24x^238+24x^245+6x^252

The gray image is a linear code over GF(7) with n=259, k=6 and d=208.
This code was found by Heurico 1.16 in 16.9 seconds.