The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  0  1  0  1  X  1  X  1  1  1  1  X  X  1  1
 0  X  0  0  0  0  0  2  2  X X+2  X  2 X+2 X+2  X X+2 X+2  X  0  X  X  X  X  X  2  0  X  X  X  0  X  X
 0  0  X  0  0  2 X+2  X  X  X  X  X X+2  2 X+2  2  2  2 X+2 X+2  0 X+2  2  X  X  2 X+2  2  X X+2 X+2  0  2
 0  0  0  X  0 X+2 X+2  X  2 X+2 X+2  0  X X+2  0 X+2  2  2  2  2 X+2  0  0  2 X+2  0  0  X  2 X+2  X  0  0
 0  0  0  0  X  X  2 X+2  X X+2  2  2  0  X  X  0  X  0  X  0  X  2  X X+2  X X+2  0  2  X X+2 X+2 X+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+250x^28+52x^29+240x^31+391x^32+440x^33+240x^35+261x^36+52x^37+112x^40+8x^44+1x^52

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 22 seconds.