The generator matrix

 1  1  1  1  2  2  2  1
 0 12  0  4  8  4 12  0
 0  0 12  4  4 12  8  0

generates a code of length 8 over Z16 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+24x^6+24x^7+177x^8+16x^10+8x^11+6x^12

The gray image is a code over GF(2) with n=64, k=8 and d=24.
This code was found by Heurico 1.16 in 0.000457 seconds.