The generator matrix

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

generates a code of length 38 over Z2[X]/(X^3) who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+60x^35+102x^36+106x^37+56x^38+76x^39+42x^40+18x^41+11x^42+12x^43+7x^44+8x^45+5x^46+8x^47

The gray image is a linear code over GF(2) with n=152, k=9 and d=70.
This code was found by an older version of Heurico in 0 seconds.