The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  0  X  X
 0  X  0 X^2+X  0 X^2+X  0  X  0 X^2+X  0  X X^2 X^2+X X^2  X X^2  0 X^2+X X^2 X^2+X X^2 X^2+X  0  X X^2  X X^2  X X^2 X^2+X X^2  X X^2+X  X  0  0
 0  0 X^2  0  0  0 X^2  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0 X^2  0 X^2  0  0 X^2 X^2  0 X^2 X^2  0  0  0 X^2  0 X^2  0  0 X^2  0
 0  0  0 X^2  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2  0  0 X^2  0  0 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2  0  0  0  0  0  0 X^2 X^2  0
 0  0  0  0 X^2 X^2 X^2 X^2 X^2  0  0 X^2 X^2  0  0 X^2 X^2  0  0  0 X^2  0 X^2 X^2  0 X^2  0 X^2 X^2 X^2 X^2  0  0  0 X^2  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+18x^34+108x^36+108x^38+18x^40+2x^42+1x^64

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 0.0212 seconds.