The generator matrix

 1  0  1  1  1 X^2+X  1  1  0  1  1 X^2+X  1  1  0  1  1 X^2  1 X^2+X  1  X  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1
 0  1 X+1 X^2+X X^2+1  1  0 X+1  1 X^2+X X^2+1  1  0 X+1  1 X^2+X X^2+X+1  1 X^2+1  1  1  1 X^2  X  0 X^2+X X^2  X X^2  X X^2  X X+1 X^2+X+1  0 X^2+X+1  0
 0  0 X^2  0 X^2  0 X^2  0 X^2 X^2  0 X^2  0  0  0 X^2 X^2 X^2  0  0 X^2 X^2 X^2  0 X^2  0 X^2  0  0 X^2  0 X^2 X^2 X^2 X^2  0  0
 0  0  0 X^2 X^2 X^2 X^2  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0  0  0  0  0  0  0  0 X^2 X^2 X^2  0  0 X^2 X^2  0 X^2 X^2  0

generates a code of length 37 over Z2[X]/(X^3) who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+1x^34+66x^35+44x^36+30x^37+46x^38+62x^39+2x^40+2x^41+1x^50+1x^56

The gray image is a linear code over GF(2) with n=148, k=8 and d=68.
This code was found by Heurico 1.16 in 0.016 seconds.