The generator matrix

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

generates a code of length 39 over Z2[X]/(X^3) who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+250x^35+192x^36+384x^37+69x^38+408x^39+142x^40+232x^41+16x^42+172x^43+80x^44+56x^45+10x^46+32x^47+1x^48+2x^51+1x^54

The gray image is a linear code over GF(2) with n=156, k=11 and d=70.
This code was found by Heurico 1.16 in 46.1 seconds.