The generator matrix

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

generates a code of length 33 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+86x^29+90x^30+370x^31+240x^32+520x^33+221x^34+352x^35+73x^36+64x^37+8x^38+10x^39+5x^40+1x^42+4x^43+2x^45+1x^52

The gray image is a code over GF(2) with n=264, k=11 and d=116.
This code was found by Heurico 1.16 in 0.062 seconds.