The generator matrix

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

generates a code of length 33 over Z2[X]/(X^4) who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+119x^28+516x^29+1285x^30+1958x^31+2963x^32+2870x^33+3003x^34+1764x^35+1143x^36+508x^37+167x^38+50x^39+20x^40+10x^41+1x^42+4x^43+2x^48

The gray image is a linear code over GF(2) with n=264, k=14 and d=112.
This code was found by Heurico 1.16 in 1.39 seconds.