The generator matrix

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

generates a code of length 25 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+78x^24+128x^25+32x^26+16x^28+1x^48

The gray image is a code over GF(2) with n=200, k=8 and d=96.
This code was found by Heurico 1.16 in 0.046 seconds.