The generator matrix

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

generates a code of length 23 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+27x^18+54x^19+100x^20+210x^21+396x^22+536x^23+377x^24+156x^25+83x^26+46x^27+30x^28+18x^29+6x^30+4x^31+4x^32

The gray image is a code over GF(2) with n=184, k=11 and d=72.
This code was found by Heurico 1.16 in 0.047 seconds.