The generator matrix

 1  0  0  1  1  1  0  X  1 X^2  1  1  X  1 X^2+X  0  X  1  0  1  1  1  X  1  1 X^2  1  1  1  1  X X^2  1 X^2  1  1  1
 0  1  0  0  1  1  1 X^2 X^2+1  1 X^2 X+1  1  X  1 X^2+X  1 X^2  1 X^2+1 X^2+X X^2+1  1  1 X^2+X  1  X X^2 X+1 X^2+1  0  0 X^2+X+1  1 X^2+X+1  X X+1
 0  0  1  1 X^2 X^2+1  1  1  X X^2+X X^2+X X^2+1 X^2+X+1  1 X^2+1  1  0  0 X+1 X^2+X+1 X+1 X+1  X X^2+X  X  1 X^2+X+1 X+1  0 X^2+1  1  1 X^2+X+1 X^2  0 X^2  1
 0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2  0  0  0  0  0 X^2 X^2 X^2  0  0 X^2 X^2  0  0  0 X^2  0 X^2  0  0 X^2 X^2 X^2  0  0  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+289x^34+302x^36+198x^38+133x^40+53x^42+44x^44+4x^46

The gray image is a linear code over GF(2) with n=148, k=10 and d=68.
This code was found by Heurico 1.11 in 0.109 seconds.