The generator matrix

 1  0  0  1  1  1 X^2+X  1  1 X^2+X X^2+X  1  1  0  1  1 X^2+X  X X^2+X  1  1  1  0 X^2  1 X^2  1  1  0  0  0  1  1 X^2+X  1  X  1  1
 0  1  0  0  1 X+1  1 X^2  0 X^2  1 X+1 X^2+1  1 X^2+X  0  1  1 X^2+X X^2+X+1 X^2+X X+1  1  1  X  1 X^2 X^2+1  X X^2  X  0 X^2+X  1 X^2 X^2+X X+1 X^2
 0  0  1  1  1  0 X+1  X X^2+X+1  1  0  X X^2+X+1 X+1 X^2 X^2+X+1 X^2 X+1  1  0 X^2+X  1  1  X X^2  1  1 X^2+X  1  1  1 X^2+1 X^2+X+1 X^2+1  X  1  0 X^2
 0  0  0  X  0 X^2  0 X^2 X^2+X  0 X^2 X^2+X X^2+X X^2  0  0 X^2+X  X X^2+X X^2+X X^2  X X^2+X  X  X  0 X^2+X X^2 X^2  0  0 X^2  X  0  0 X^2+X X^2+X  0
 0  0  0  0 X^2  0  0 X^2 X^2 X^2 X^2 X^2  0 X^2  0 X^2 X^2  0 X^2  0  0 X^2 X^2  0 X^2  0  0 X^2  0 X^2  0 X^2 X^2  0 X^2  0  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+38x^32+186x^33+313x^34+414x^35+446x^36+458x^37+484x^38+460x^39+469x^40+304x^41+203x^42+174x^43+60x^44+42x^45+22x^46+8x^47+10x^48+2x^49+2x^50

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 0.367 seconds.