The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  8  1  1 14  1  1  4  1  1  2  1  1  0  1  1  6  1  1 12  1  1 10  1  1  1  1  8 14  1  1  1  1  4  2  2  2  0  2  2 12  2  2  2  2  8  4  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  1  3  6  5  1 12 15  1 10  9  1  8 11  1 14 13  1  4  7  1  2  1  1  0  3  1  6  5  1 12 15  1 10  9  1  8 11 14 13  1  1  4  2  7  1  1  1  0  6  2 12 10  2  8 14  4  2  2  2  0  3  8 11 12  4 15  7  6 14 10  2  5 13  9  1

generates a code of length 76 over Z16 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+240x^76+14x^80+1x^96

The gray image is a code over GF(2) with n=608, k=8 and d=304.
This code was found by Heurico 1.16 in 0.135 seconds.