The generator matrix

 1  0  0  0  1  1  1  1 X^3+X  1 X^3+X^2 X^2  1 X^2  1  1 X^2+X  1  1 X^3+X  X X^2+X  1  0  1  1  1 X^2 X^2+X  0  1 X^3+X^2  1  1  1  1  1  1 X^3
 0  1  0  0  0 X^3 X^2+1 X^3+X+1  1 X^3+1  1 X^3+X^2+X X+1  1 X^2+X X^3  1 X^3+X^2+X+1  X X^3+X^2  1  1  X X^3+X^2 X^2+1 X^2+X X+1 X^2+X X^2 X^3+X X+1  1 X^3+X^2+X+1 X^3+1 X^3+1 X^3+1 X^2+1  X X^2
 0  0  1  0  1 X^3+X^2+X X^2  X  X  1 X^2+1  1 X^2+1 X^3+X^2+X+1 X+1 X+1 X^3+X^2+X+1 X^3  0  1 X^3+X^2+X X^3+X^2 X^3  1 X^2+X+1 X^3+X^2+1 X+1  1  1 X^3+X^2 X^2+X X^2+X+1 X^2 X^3 X^2+1  X  1 X^3+X  1
 0  0  0  1  1 X+1 X^2+X+1 X^3 X+1  X X^2+1 X^3+X+1 X^3+X+1 X^3+X X^2+X X^3+X^2+X+1 X^3+X^2 X^3+X+1 X^3 X^3  X X^3+X+1  1 X+1 X^3+X+1 X^3+X X^2 X^3 X^3+X^2+1  1 X^2+X+1 X+1 X^2+X X^3+X^2+1 X^3+X X^3 X^3+X^2+1 X^3+X X^3+X^2
 0  0  0  0 X^3  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3  0  0 X^3 X^3 X^3 X^3  0

generates a code of length 39 over Z2[X]/(X^4) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+442x^33+2207x^34+4962x^35+9636x^36+14998x^37+20865x^38+23796x^39+22212x^40+15574x^41+9365x^42+4398x^43+1816x^44+532x^45+185x^46+56x^47+15x^48+4x^49+4x^51+2x^53+2x^54

The gray image is a linear code over GF(2) with n=312, k=17 and d=132.
This code was found by Heurico 1.16 in 74.3 seconds.