The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  2  1  1  X  1  0  1  1  0  0  1  X  X  1  X  1
 0  X  0  0  0  X X+2  X  0  2  X X+2  0  2  X  X  2  0 X+2 X+2  2  2  X  0 X+2  2  X  X X+2  0  X X+2  X
 0  0  X  0  X  X  X  2  0  2 X+2 X+2  X  X  2  2 X+2  X X+2  X  0  2  0 X+2  0  0  X  0 X+2  2  2  X  0
 0  0  0  X  X  2 X+2 X+2  0 X+2  2 X+2  X  0  X  0  X X+2  0  2  X  2  0  0  X  X  2  2  X X+2  0  2  X
 0  0  0  0  2  2  2  2  2  2  0  0  0  2  0  2  0  2  0  2  0  0  2  0  0  2  2  0  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+57x^28+16x^29+176x^30+80x^31+201x^32+64x^33+138x^34+80x^35+103x^36+16x^37+44x^38+33x^40+10x^42+4x^44+1x^48

The gray image is a code over GF(2) with n=132, k=10 and d=56.
This code was found by Heurico 1.16 in 0.0456 seconds.