The generator matrix

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

generates a code of length 38 over Z2[X]/(X^3) who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+196x^34+231x^36+264x^38+110x^40+168x^42+38x^44+8x^46+1x^48+4x^50+3x^52

The gray image is a linear code over GF(2) with n=152, k=10 and d=68.
This code was found by Heurico 1.16 in 92.8 seconds.