The generator matrix

 1  0  1  1 X^2  1  X  1  1  1  1 X^2+X  0  1  1  1  1  1  X  1  1  1 X^3  1  1  1 X^3 X^3+X  1  1 X^3+X^2  1  X X^3+X^2  0 X^3+X^2+X  1
 0  1  1 X^2+X  1 X^2+X+1  1 X^2 X^3+X^2+X+1  X X^3+X^2+1  1  1 X^3+X+1  X  1 X^2+1 X^3  1 X^2 X^3+1 X+1  1 X^2+X+1 X^2+X X^2+X+1  X  1  0 X+1  1 X^3+X  1  1 X^3  1 X^3
 0  0  X  0 X^3+X  X  X X^3+X X^3 X^3+X X^2  0 X^2 X^3+X^2+X X^3+X^2 X^3+X^2+X X^3 X^3+X^2 X^2 X^3+X^2+X X^3+X^2 X^2+X X^3+X^2+X X^2 X^3+X^2+X X^2 X^2+X X^2+X X^2+X X^3 X^2+X X^2 X^3+X^2 X^2+X  X X^2+X X^3
 0  0  0 X^3  0 X^3 X^3 X^3  0  0 X^3 X^3  0 X^3 X^3  0  0 X^3  0 X^3  0  0  0 X^3 X^3  0 X^3  0  0 X^3 X^3  0 X^3  0 X^3 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+74x^33+462x^34+468x^35+846x^36+554x^37+830x^38+304x^39+354x^40+106x^41+50x^42+24x^43+14x^44+2x^45+2x^46+4x^47+1x^48

The gray image is a linear code over GF(2) with n=296, k=12 and d=132.
This code was found by Heurico 1.16 in 0.125 seconds.