The generator matrix

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

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+96x^34+40x^35+133x^36+48x^37+70x^38+40x^39+52x^40+12x^42+13x^44+6x^46+1x^64

The gray image is a linear code over GF(2) with n=148, k=9 and d=68.
This code was found by Heurico 1.16 in 99.9 seconds.