The generator matrix

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

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+122x^28+298x^29+421x^30+576x^31+484x^32+562x^33+375x^34+424x^35+322x^36+214x^37+167x^38+88x^39+21x^40+14x^41+5x^42+2x^44

The gray image is a code over GF(2) with n=132, k=12 and d=56.
This code was found by Heurico 1.11 in 0.134 seconds.