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
 0  4  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  4  4  4  4  4  0  0
 0  0  4  0  0  0  0  0  0  0  0  0  0  0  4  4  4  4  4  4  4  0  0  0
 0  0  0  4  0  0  0  0  0  0  0  0  0  4  4  4  0  0  0  4  4  4  0  0
 0  0  0  0  4  0  0  0  0  0  0  0  0  4  0  4  4  0  4  4  0  0  0  0
 0  0  0  0  0  4  0  0  0  0  0  0  0  4  4  0  4  4  0  4  0  4  0  0
 0  0  0  0  0  0  4  0  0  0  0  0  4  4  4  4  4  4  4  0  4  4  0  0
 0  0  0  0  0  0  0  4  0  0  0  0  4  0  0  4  4  0  0  4  4  4  0  0
 0  0  0  0  0  0  0  0  4  0  0  0  4  0  4  4  0  4  0  4  0  0  0  0
 0  0  0  0  0  0  0  0  0  4  0  0  4  0  4  0  4  0  4  4  0  4  0  0
 0  0  0  0  0  0  0  0  0  0  4  0  4  4  0  0  4  4  0  4  4  0  0  0
 0  0  0  0  0  0  0  0  0  0  0  4  4  4  0  4  0  4  4  4  0  4  0  0

generates a code of length 24 over Z8 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+56x^12+240x^14+231x^16+112x^18+456x^20+672x^22+12848x^24+672x^26+456x^28+112x^30+231x^32+240x^34+56x^36+1x^48

The gray image is a code over GF(2) with n=96, k=14 and d=24.
This code was found by Heurico 1.16 in 1.31 seconds.