The generator matrix

 1  0  1  1  1 X+2  1  1  0  1  1 X+2  1  0  1  1  1 X+2  1  1  1  1 X+2  X  1  1  1  1  0  1  1  1  1
 0  1 X+1 X+2  1  1  0 X+1  1 X+2  3  1  0  1 X+1 X+2  3  1  0  2  X  3  1  1 X+2 X+1  0  0  1  2  3 X+2 X+2
 0  0  2  0  0  0  0  0  0  2  2  0  2  0  0  0  2  2  2  0  2  2  2  0  0  2  0  2  2  2  0  0  0
 0  0  0  2  0  0  0  2  0  2  2  0  0  2  2  0  2  2  0  0  0  0  0  2  2  2  2  2  0  0  2  0  0
 0  0  0  0  2  0  0  0  2  0  2  0  2  2  2  2  2  0  2  0  2  0  2  2  2  2  0  0  0  0  2  2  0
 0  0  0  0  0  2  0  2  2  0  2  0  2  0  2  2  0  2  0  2  2  2  0  2  2  2  0  2  2  2  0  0  2
 0  0  0  0  0  0  2  2  0  2  0  2  2  2  2  2  2  2  2  2  0  0  0  0  0  2  0  2  0  2  0  0  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+116x^28+96x^29+216x^30+128x^31+324x^32+320x^33+288x^34+128x^35+240x^36+96x^37+72x^38+14x^40+4x^44+5x^48

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 1.42 seconds.