The generator matrix

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

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+83x^34+162x^35+123x^36+126x^37+117x^38+84x^39+102x^40+106x^41+69x^42+22x^43+8x^44+6x^45+3x^46+4x^47+5x^48+2x^49+1x^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 0.0492 seconds.