The generator matrix

 1  0  1  1  1 X+2  1  0  1  1  1  2  1 X+2  1  1  1  X  1 X+2  1  1  1  0  1 X+2 X+2  1  1  0  2  1  2
 0  1  1  0 X+3  1  X  1 X+3  X  1  1 X+2  1  0  3  1  1  X  1  1  0  0  1 X+3  1  1  X  2  1  1  2  X
 0  0  X  0 X+2  0  0  X  2  X  2 X+2  X  2 X+2 X+2  2  X  2  0 X+2  0  X  2  X X+2  X X+2  0  0  0  0 X+2
 0  0  0  X  0  0 X+2  X X+2  0 X+2  2 X+2  X  X X+2  0  2  2  2  2  0  X X+2  X  X X+2  0 X+2  2  X  2  2
 0  0  0  0  2  0  2  2  0  2  2  2  2  0  0  0  2  0  2  2  2  2  2  2  2  2  2  2  2  2  0  2  2
 0  0  0  0  0  2  0  0  0  0  2  0  0  2  2  2  0  2  0  0  2  2  2  0  0  0  2  2  0  2  0  2  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+396x^28+548x^30+1172x^32+904x^34+872x^36+84x^38+106x^40+12x^44+1x^48

The gray image is a code over GF(2) with n=132, k=12 and d=56.
This code was found by Heurico 1.16 in 51.2 seconds.