The generator matrix

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

generates a code of length 38 over Z7[X]/(X^2) who´s minimum homogenous weight is 217.

Homogenous weight enumerator: w(x)=1x^0+42x^217+1260x^218+420x^219+630x^220+798x^221+144x^224+3360x^225+630x^226+504x^227+462x^228+108x^231+5670x^232+1008x^233+924x^234+798x^235+30x^238+6x^259+12x^266

The gray image is a linear code over GF(7) with n=266, k=5 and d=217.
This code was found by Heurico 1.16 in 0.067 seconds.