The generator matrix

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

generates a code of length 37 over Z7[X]/(X^2) who´s minimum homogenous weight is 202.

Homogenous weight enumerator: w(x)=1x^0+294x^202+306x^203+42x^204+168x^205+798x^206+3150x^209+1146x^210+756x^211+1260x^212+3486x^213+5250x^216+7398x^217+4536x^218+5208x^219+11214x^220+11802x^223+21558x^224+9072x^225+7770x^226+13314x^227+8316x^230+306x^231+216x^238+168x^245+90x^252+24x^259

The gray image is a linear code over GF(7) with n=259, k=6 and d=202.
This code was found by Heurico 1.16 in 2.83 seconds.