The generator matrix

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

generates a code of length 39 over Z7[X]/(X^2) who´s minimum homogenous weight is 210.

Homogenous weight enumerator: w(x)=1x^0+114x^210+126x^211+42x^216+564x^217+1848x^218+1512x^219+756x^223+1722x^224+7224x^225+4284x^226+4536x^230+5550x^231+20664x^232+11592x^233+9072x^237+8124x^238+27762x^239+11424x^240+222x^245+264x^252+174x^259+60x^266+12x^273

The gray image is a linear code over GF(7) with n=273, k=6 and d=210.
This code was found by Heurico 1.16 in 3.13 seconds.