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

generates a code of length 38 over Z2[X]/(X^3) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+380x^32+384x^34+778x^36+896x^38+1068x^40+256x^42+276x^44+54x^48+2x^52+1x^64

The gray image is a linear code over GF(2) with n=152, k=12 and d=64.
This code was found by Heurico 1.16 in 87.4 seconds.