The generator matrix

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

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+102x^34+68x^35+257x^36+84x^37+140x^38+40x^39+149x^40+40x^41+62x^42+20x^43+39x^44+4x^45+8x^46+2x^48+8x^50

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 0.0493 seconds.