The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+38x^66+166x^67+462x^68+768x^69+1472x^70+2220x^71+3914x^72+4866x^73+7181x^74+7318x^75+8856x^76+7522x^77+7297x^78+4786x^79+3491x^80+2198x^81+1531x^82+580x^83+370x^84+202x^85+126x^86+58x^87+46x^88+24x^89+13x^90+8x^91+12x^92+4x^93+5x^94+1x^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 60.7 seconds.