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  2  0  2  0  0  2  2  4  4  6  6  4  4  6  6  0  4  2  6  0  0  6  6  4
 0  0  2  2  4  6  6  4  4  2  6  0  0  6  2  4  0  2  2  0  4  6  6  4  0

generates a code of length 25 over Z8 who´s minimum homogenous weight is 24.

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

The gray image is a code over GF(2) with n=100, k=7 and d=48.
This code was found by Heurico 1.16 in 0.00287 seconds.