The generator matrix

 1  0  0  1  1  1 X^3 X^2  0  1  1  1  X  1  1 X^3+X^2+X  1 X^3+X  1 X^2  1 X^3+X^2+X  1  1 X^3+X^2+X X^3+X X^3+X  1  0  1  1  1 X^3+X^2+X  1  1  1  1
 0  1  0  0 X^3+X^2+1 X^3+X^2+1  1  X  1 X^3+X^2  1 X^3+X^2+X  1 X^3+X+1  X X^3+X X+1  1 X^2+1  1 X^3+X  1 X^3+X^2+X+1 X^3+1  1 X^2  1 X^3 X^3+X^2 X^3+X+1 X^2+X+1 X^3+X^2+X  1 X^3 X^3+1  0 X^3
 0  0  1 X+1 X^2+X+1 X^2 X^2+X+1  1 X^2+X X^2+X  X  1 X^3+1 X^2+X+1 X+1  1 X^3+X^2+X X+1 X^3+X^2+1 X^2 X^3+X^2 X^3+X X^3+1 X^2+X X^3  1 X^2+X+1 X^3+X^2  1  0 X^2 X^2+X X^3+1 X^2+X X^3+X^2+X+1 X^3  X
 0  0  0 X^3 X^3  0 X^3 X^3 X^3 X^3 X^3  0  0  0 X^3  0 X^3  0 X^3 X^3  0  0 X^3  0 X^3 X^3 X^3 X^3 X^3 X^3  0 X^3 X^3  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+230x^33+675x^34+1258x^35+1297x^36+1596x^37+1265x^38+896x^39+484x^40+306x^41+97x^42+54x^43+17x^44+12x^45+3x^46+1x^48

The gray image is a linear code over GF(2) with n=296, k=13 and d=132.
This code was found by Heurico 1.16 in 0.75 seconds.