The generator matrix

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

generates a code of length 33 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+68x^28+84x^29+298x^30+208x^31+307x^32+184x^33+298x^34+208x^35+201x^36+84x^37+64x^38+27x^40+10x^42+3x^44+2x^46+1x^48

The gray image is a code over GF(2) with n=132, k=11 and d=56.
This code was found by Heurico 1.16 in 0.104 seconds.