The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^3+X^2  1  1 X^3+X  1  1  0  1  1 X^2+X  1  1  0  1  1 X^2+X  X  1  X  X  X  1  1  1  0  1 X^3 X^3+X^2  1
 0  1 X+1 X^2+X X^2+1  1 X^3+X^2+X+1 X^3+X^2  1 X^3+X X^3+1  1  0 X+1  1 X^2+X X^2+1  1 X^3+X^2 X+1  1 X^2+X X^2+1  1  0 X^3+X X^3+X^2 X^2+X X^2  0 X^3+X X^3+X^2  X X^3  1  1 X^2+X
 0  0 X^3  0  0  0  0 X^3 X^3 X^3 X^3 X^3  0  0  0  0  0  0 X^3 X^3 X^3 X^3 X^3 X^3  0 X^3  0 X^3 X^3 X^3  0  0  0 X^3 X^3  0  0
 0  0  0 X^3  0 X^3 X^3 X^3 X^3  0 X^3  0 X^3  0 X^3  0 X^3  0  0 X^3  0 X^3  0 X^3  0  0 X^3 X^3  0 X^3 X^3  0  0 X^3 X^3  0 X^3
 0  0  0  0 X^3  0 X^3 X^3 X^3 X^3  0 X^3  0 X^3  0  0 X^3  0 X^3  0 X^3 X^3  0 X^3 X^3  0 X^3  0  0 X^3 X^3  0 X^3  0  0  0  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+72x^33+238x^34+128x^35+461x^36+248x^37+504x^38+120x^39+176x^40+64x^41+23x^42+8x^43+1x^44+2x^46+1x^48+1x^66

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 0.047 seconds.