The generator matrix

 1  0  0  0  1  1  1  1 X^2  1  0  X  1  1 X^2  1  0  1  1  X  1 X^2+X  1  0  1  1  1  1 X^2+X X^2  1  1  1  1  0  1  X  1
 0  1  0  0  0  1 X^2 X^2+1  1 X+1 X^2+X  1 X^2+1 X^2+X  1 X^2+X+1  1  X  1  0  1  X X^2+1  1  X X^2+X+1 X^2+X  1  0  1 X^2+X+1 X^2+X  0  X  1  X  1 X+1
 0  0  1  0  0  1 X^2+1  X X^2+X+1 X^2+1  1 X^2 X^2+X X+1 X^2+1 X^2 X^2+1 X+1 X^2+X+1  1 X^2+X  X X^2+X+1  1 X^2+X+1  X  X  0  1  0  0  1  1  0  X  X X^2+X X^2
 0  0  0  1 X+1 X^2 X^2+X+1 X^2+1 X^2+1  1  1 X^2+1  X X^2+X X^2  0 X^2+X X^2+1  0  X X+1  1 X^2+X+1 X^2+X+1 X^2+X  0 X+1  1  X  1 X^2+X X+1 X^2 X^2+1  X  X  0 X^2+X+1
 0  0  0  0 X^2  0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0  0  0 X^2 X^2  0  0  0  0  0  0 X^2 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+158x^32+386x^33+585x^34+750x^35+881x^36+942x^37+920x^38+956x^39+839x^40+704x^41+481x^42+238x^43+195x^44+110x^45+27x^46+8x^47+6x^48+2x^49+2x^50+1x^54

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 1.39 seconds.