The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  0  1  1  2 12  1  1  1  2  0  1  2 12  1  1  2  2  1  1  1  1  2  2  2  8  2  4  2  8  2  4  2  2  2  2  4  1  1  1  1  1  1  1  1  1  1  1  1
 0  2 12  6  0  6 12 10  8 14  4 10  8 14  4  2  0  6 12 10  6  2  0  6 10  2 12 10  8  6  2  4 10  2 14  2  0 12  8 14  4  2  8  4 14  2  2  2 14  2  2  2  0 12  8  4 12  0  0 12 12  8  4  8  4  6 10 14  6
 0  0  8  8  8  0  0  8  8  8  0  0  0  0  8  8  0  0  8  8  0  8  8  8  8  0  0  0  8  8  0  0  0  8  8  0  8  8  0  0  8  8  8  8  8  8  0  0  0  0  8  8  0  0  0  0  8  0  8  0  8  8  8  0  0  0  0  0  8

generates a code of length 69 over Z16 who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+76x^68+96x^69+72x^70+5x^72+4x^76+1x^80+1x^88

The gray image is a code over GF(2) with n=552, k=8 and d=272.
This code was found by Heurico 1.16 in 0.318 seconds.