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

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

Homogenous weight enumerator: w(x)=1x^0+76x^66+382x^67+769x^68+1108x^69+1721x^70+2566x^71+3461x^72+4736x^73+6510x^74+7602x^75+8107x^76+7644x^77+6050x^78+4852x^79+3544x^80+2456x^81+1608x^82+880x^83+616x^84+418x^85+208x^86+98x^87+72x^88+20x^89+18x^90+4x^91+4x^92+2x^93+2x^96+1x^102

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 82.9 seconds.