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

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

Homogenous weight enumerator: w(x)=1x^0+113x^76+4x^78+4x^80+4x^82+1x^84+1x^96

The gray image is a code over GF(2) with n=608, k=7 and d=304.
This code was found by Heurico 1.16 in 0.298 seconds.