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

generates a code of length 76 over Z16 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+163x^66+372x^67+663x^68+1246x^69+1620x^70+2768x^71+3389x^72+5190x^73+6095x^74+7338x^75+7955x^76+7460x^77+6063x^78+5208x^79+3483x^80+2624x^81+1418x^82+1054x^83+642x^84+374x^85+171x^86+110x^87+54x^88+34x^89+18x^90+12x^91+4x^92+2x^94+2x^95+1x^96+2x^98

The gray image is a code over GF(2) with n=608, k=16 and d=264.
This code was found by Heurico 1.16 in 87.2 seconds.