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

generates a code of length 37 over Z2[X]/(X^3) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+301x^32+152x^34+700x^36+336x^38+385x^40+24x^42+140x^44+8x^48+1x^56

The gray image is a linear code over GF(2) with n=148, k=11 and d=64.
This code was found by Heurico 1.16 in 32.1 seconds.