The generator matrix

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

generates a code of length 37 over Z2[X]/(X^4) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+114x^33+52x^34+366x^35+347x^36+406x^37+319x^38+246x^39+34x^40+110x^41+7x^42+26x^43+1x^44+10x^45+5x^46+2x^47+1x^50+1x^56

The gray image is a linear code over GF(2) with n=296, k=11 and d=132.
This code was found by Heurico 1.16 in 0.172 seconds.