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

generates a code of length 37 over Z7[X]/(X^2) who´s minimum homogenous weight is 203.

Homogenous weight enumerator: w(x)=1x^0+276x^203+576x^210+2058x^216+420x^217+12348x^223+330x^224+282x^231+234x^238+150x^245+114x^252+18x^259

The gray image is a linear code over GF(7) with n=259, k=5 and d=203.
This code was found by Heurico 1.16 in 0.16 seconds.