The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  2  1  1  X  0  1  X  1  1  1  X  1  1  X
 0  X  0  0  0  X X+2  X  2  2  X  0  0  X  X X+2  0  0  X  X  2  2  X  X X+2  2 X+2  0  0  X X+2 X+2  X
 0  0  X  0  X  X  X  0  2  0 X+2  X X+2  0 X+2  0  2 X+2  0  2  2  0  X  X  X  2  2  2 X+2 X+2  X  2 X+2
 0  0  0  X  X  0  X X+2  0  X  2  X  2 X+2  X  0  2  X X+2 X+2  X X+2  2 X+2  2  X  X  2  0  0  2  2  0
 0  0  0  0  2  0  0  0  2  2  2  2  0  2  0  2  2  0  2  2  2  0  0  0  2  0  2  0  0  2  0  2  2
 0  0  0  0  0  2  0  2  0  0  0  2  2  0  2  0  2  2  2  0  2  2  0  0  2  0  2  0  0  2  2  0  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+253x^28+40x^29+264x^31+383x^32+432x^33+240x^35+267x^36+40x^37+8x^39+112x^40+7x^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 2.9 seconds.