The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  X  1  1  1  1  1  1  1  1  1  1  X  1  1  X
 0  2  0  0  0  0  0  2  0  0  0  2  2  0  2  2  0  2  2  0  0  0  0  2  0  0  2  2  0  2  2  0  2
 0  0  2  0  0  0  0  2  0  0  2  2  0  2  2  0  2  2  0  0  0  0  2  2  0  2  2  0  2  0  2  2  2
 0  0  0  2  0  0  0  2  0  2  2  0  0  2  0  2  0  2  2  0  0  2  2  0  2  2  2  2  0  2  2  2  2
 0  0  0  0  2  0  0  2  0  2  0  0  2  2  2  0  2  0  2  2  2  2  0  0  2  0  0  2  0  0  2  2  2
 0  0  0  0  0  2  0  2  2  0  0  0  2  2  0  2  2  2  0  2  2  2  2  2  2  2  2  2  2  2  2  0  0
 0  0  0  0  0  0  2  2  2  0  2  0  0  0  2  2  2  0  2  0  2  2  2  2  0  0  0  0  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+40x^28+24x^30+85x^32+256x^33+32x^34+44x^36+8x^38+17x^40+4x^44+1x^56

The gray image is a code over GF(2) with n=132, k=9 and d=56.
This code was found by Heurico 1.16 in 0.0217 seconds.