The generator matrix

 1  0  0  1  1  1  0  X  1 X^2  1  1  X  1 X^2+X  X  0  1 X^2  1  0  1  X  1  1  1  1  1  1  1  1  1  1  1  1 X^2  1  1
 0  1  0  0  1  1  1 X^2 X^2+1  1 X^2 X+1  1  X  1  1 X^2+X X^2  1 X^2+X  1 X^2+1  1 X^2+1 X^2 X^2+X  X  X X^2+X+1 X^2+1  0  0 X^2+X X^2+X  X  1 X^2+X  0
 0  0  1  1 X^2 X^2+1  1  1  X X^2+X X^2+X X^2+1 X^2+X+1  1 X^2+1  0  1  0 X^2+X X+1 X+1 X^2+X+1  X X^2  1  0 X^2+X+1 X^2+1 X^2  X X+1 X+1 X^2  X X^2+X X^2+1  1  1
 0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2  0  0  0  0 X^2  0 X^2  0  0 X^2  0 X^2 X^2  0  0 X^2 X^2 X^2  0 X^2  0 X^2 X^2  0  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+52x^34+152x^35+163x^36+148x^37+138x^38+86x^39+83x^40+68x^41+39x^42+48x^43+25x^44+8x^45+9x^46+2x^47+1x^50+1x^54

The gray image is a linear code over GF(2) with n=152, k=10 and d=68.
This code was found by Heurico 1.11 in 0.031 seconds.