The generator matrix

 1  0  1  1  1 X^3+X^2+X  1  1  0  1  1 X^3+X^2+X  1 X^3+X^2  1  1  1  X  1  1  1  1 X^2+X X^3+X^2+X X^3+X^2  1  1 X^3+X^2+X X^3  X  1 X^2  X  X  X X^3+X  1
 0  1 X+1 X^3+X^2+X X^2+1  1 X^3+X+1  0  1 X^3+1 X^3+X^2+X  1 X^3+X^2  1 X+1 X^2+X X^3+X^2+1  1 X^2 X^3+X^2+1  0  1  1  1  1 X^3+X^2+X X+1  1  1  X X^3+X^2+1  1  1 X^3  X  1 X^2
 0  0 X^2  0  0 X^3  0 X^2 X^3+X^2 X^3+X^2 X^2 X^3+X^2 X^3+X^2 X^3 X^3+X^2  0  0 X^3 X^2 X^3+X^2 X^3 X^3 X^3+X^2 X^2 X^3+X^2 X^3+X^2 X^3  0 X^2 X^3+X^2 X^3+X^2 X^3+X^2 X^2 X^2 X^3+X^2 X^2 X^2
 0  0  0 X^3+X^2 X^3 X^2 X^2 X^3+X^2 X^3+X^2 X^2 X^3 X^3 X^3+X^2  0 X^2  0 X^2 X^3+X^2 X^3  0 X^3+X^2 X^3 X^2 X^3 X^3+X^2 X^2  0 X^3 X^3 X^3+X^2 X^3+X^2  0 X^2  0  0 X^3+X^2  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+170x^33+330x^34+518x^35+706x^36+744x^37+705x^38+422x^39+281x^40+154x^41+14x^42+34x^43+4x^45+5x^46+2x^47+4x^48+2x^50

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 0.437 seconds.