The generator matrix

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

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+80x^28+132x^29+210x^30+228x^31+272x^32+296x^33+196x^34+264x^35+155x^36+84x^37+66x^38+20x^39+31x^40+8x^42+5x^44

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 0.103 seconds.