The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1
0 2X 0 0 0 0 2X 0 2X 2X 0 0 2X 2X 2X 2X 0 0 0 0 0 2X 2X
0 0 2X 0 0 0 2X 2X 2X 0 2X 2X 2X 2X 0 0 0 0 0 2X 2X 2X 2X
0 0 0 2X 0 2X 0 2X 0 2X 2X 0 2X 2X 2X 0 0 0 2X 2X 0 0 0
0 0 0 0 2X 2X 0 0 2X 2X 2X 2X 2X 0 0 2X 2X 0 2X 0 0 0 0
generates a code of length 23 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 20.
Homogenous weight enumerator: w(x)=1x^0+11x^20+16x^22+192x^23+31x^24+4x^28+1x^44
The gray image is a code over GF(2) with n=184, k=8 and d=80.
This code was found by Heurico 1.16 in 6.87e-008 seconds.