The generator matrix

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

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+249x^28+1160x^29+2178x^30+3968x^31+5587x^32+6390x^33+5829x^34+4080x^35+1977x^36+932x^37+268x^38+96x^39+26x^40+14x^41+13x^42

The gray image is a linear code over GF(2) with n=264, k=15 and d=112.
This code was found by Heurico 1.16 in 5.59 seconds.