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  4
 0 12  0  4  0  0  4 12  8  8 12  4  8  8 12  4  0  8  4 12  0  0 12 12  8
 0  0 12  4  8  4 12  8  8  4 12  8  0 12  4  0  0  4  4  0  8 12 12  8  0

generates a code of length 25 over Z16 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 0.0542 seconds.