The generator matrix

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

generates a code of length 37 over Z7[X]/(X^2) who´s minimum homogenous weight is 210.

Homogenous weight enumerator: w(x)=1x^0+30x^210+252x^211+504x^212+420x^213+1848x^214+138x^217+1260x^218+1344x^219+630x^220+1596x^221+108x^224+2604x^225+2268x^226+1008x^227+2730x^228+36x^231+12x^238+6x^245+6x^252+6x^259

The gray image is a linear code over GF(7) with n=259, k=5 and d=210.
This code was found by Heurico 1.16 in 0.066 seconds.