The generator matrix

 1  0  0  0  1  1  1 X^2  1  1  1  1  0 X^2 X^3+X^2  1 X^3+X^2  1 X^2+X  X X^2+X  1 X^3+X X^3+X^2+X X^3+X  1  1 X^3  1 X^3+X^2  1 X^3  1
 0  1  0  0 X^3  1 X^3+1  1 X^2 X^2+X+1 X^3 X+1  1  X  1 X^2 X^3+X X^2+1 X^3+X  1  1 X^3+X  1  1  1  X X^2+1  1 X^3+X^2+X  0 X^3+X^2  1 X^3+X^2+1
 0  0  1  0 X^3+1  1 X^3 X^3+X^2+1  0 X^3+X+1 X^2+X+1 X^2  X  1 X+1 X^2+1  X X^3+X^2+X  1 X^2+1 X^2 X^2+1 X^2+X+1  0 X^3+X X^3+X X^3+X^2+X+1 X^3 X^3+X^2 X^3+X X^3+X^2+1 X^3+1 X^3
 0  0  0  1  1 X^3 X^3+X^2+1 X^3+X^2+1 X^3+1  1 X^2+X  X X^2+X+1 X^3+X+1 X^3+X X^3+X^2+X+1  1 X^3+X^2+1 X^3+X^2+X+1  1 X^3+X^2 X^2 X^2 X^3+1 X^3+X^2+X X^3+X^2+X+1 X+1 X^3+X^2+X+1 X^3  1 X^2+X X^3+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+600x^28+2128x^29+4702x^30+7712x^31+11213x^32+12472x^33+11778x^34+8120x^35+4238x^36+1624x^37+698x^38+200x^39+42x^40+6x^42+2x^44

The gray image is a linear code over GF(2) with n=264, k=16 and d=112.
This code was found by Heurico 1.16 in 19.5 seconds.