The generator matrix

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

generates a code of length 23 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+117x^20+248x^22+256x^23+350x^24+8x^26+39x^28+4x^32+1x^40

The gray image is a code over GF(2) with n=184, k=10 and d=80.
This code was found by Heurico 1.16 in 0.031 seconds.