The generator matrix

 1  0  1  1  1 X^2+X  1  0  1  1 X^2+X  1  1  1 X^2 X^2  1  1  X  1  1 X^2+X  0  1  1  1  1 X^2+X X^2  1  1  1  1  1  X  0  1  X
 0  1  1  0 X^2+X+1  1  X  1 X^2+X+1  1  1 X^2+X X^2 X+1  1  1 X^2+X+1  0  1 X^2+1  X  1  1 X^2+1 X^2+X+1  0  0  1  1 X^2+1  1 X+1 X^2+X  1  1  X X^2+1 X^2
 0  0  X  0 X^2+X  0  0  X X^2 X^2 X^2+X X^2  X  X X^2+X  0  0  X X^2 X^2  X X^2+X X^2 X^2+X X^2+X  X  X  X  X  X X^2+X  X X^2+X X^2+X  0 X^2 X^2  X
 0  0  0  X  0  0 X^2+X  X X^2+X X^2+X  X X^2 X^2  X X^2  X  0 X^2+X  X X^2 X^2  0  0 X^2+X  0 X^2+X X^2+X  X  X X^2+X  X  0 X^2+X  0 X^2+X X^2+X  0 X^2
 0  0  0  0 X^2  0 X^2 X^2  0 X^2  0 X^2 X^2  0  0  0 X^2  0  0  0 X^2  0 X^2 X^2  0 X^2 X^2  0 X^2  0  0 X^2  0 X^2 X^2  0  0  0
 0  0  0  0  0 X^2  0  0  0 X^2 X^2  0  0 X^2  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 X^2 X^2 X^2 X^2 X^2  0  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+122x^32+92x^33+378x^34+244x^35+572x^36+456x^37+538x^38+408x^39+481x^40+220x^41+282x^42+116x^43+111x^44+46x^46+24x^48+4x^50+1x^52

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 0.458 seconds.