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

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

Homogenous weight enumerator: w(x)=1x^0+36x^68+192x^69+14x^70+9x^72+1x^80+2x^86+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 0.315 seconds.