The generator matrix

 1  1  1  1  1  1  1  1  X  X  X  1  1  1  1  X  2  2  2  X  X  X  1
 0  2  0  2  0  0  2  2  0  2  2  0  0  2  2  0  0  2  2  0  2  0  0
 0  0  2  2  0  2  2  0  2  2  0  0  2  2  0  0  2  2  0  2  2  0  0

generates a code of length 23 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+14x^22+2x^23+3x^24+4x^25+6x^26+2x^27

The gray image is a code over GF(2) with n=92, k=5 and d=44.
This code was found by Heurico 1.16 in 0.00241 seconds.