The generator matrix

 1  0  0  1  1  1 X^2+X  1  1  1 X^2  1  1  X X^2+X X^2  1 X^2 X^2+X  1  1  0  1  1 X^2+X X^2  1 X^2  1  1 X^2  1  1  1  1  1  1  1
 0  1  0  0  1 X+1  1 X^2+X X^2+1  X  1 X^2+X+1  1 X^2+X  1  X X^2+X  1  0 X+1  1  1 X^2+X  X  1  1 X+1  1  1 X^2+X  1  X X+1  1 X^2+X X^2+X  0 X+1
 0  0  1  1  1  0  1  0 X^2 X+1 X+1  X X+1  1  0  1 X^2+X X^2+1  1 X^2+1  X X^2 X+1  1 X^2+X X^2+X+1 X^2 X^2 X+1 X+1  1 X^2+X  1  0  0  1 X^2+1  1
 0  0  0  X X^2+X  0  X X^2 X^2  X  X X^2  X X^2  0  0  0 X^2+X X^2  X X^2 X^2 X^2+X X^2  X  0 X^2+X  X  0  0  0 X^2+X  0  X X^2+X  0  0 X^2+X
 0  0  0  0 X^2  0 X^2  0  0 X^2  0 X^2  0 X^2 X^2  0 X^2  0 X^2 X^2  0 X^2  0 X^2  0 X^2  0 X^2  0  0 X^2 X^2  0  0 X^2 X^2  0 X^2
 0  0  0  0  0 X^2  0 X^2  0  0  0  0 X^2 X^2  0 X^2 X^2 X^2  0  0 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2  0  0  0  0  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+266x^32+224x^33+686x^34+580x^35+1079x^36+740x^37+1096x^38+744x^39+1135x^40+552x^41+558x^42+212x^43+217x^44+20x^45+52x^46+22x^48+8x^50

The gray image is a linear code over GF(2) with n=152, k=13 and d=64.
This code was found by Heurico 1.16 in 2.19 seconds.