The generator matrix

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

generates a code of length 76 over Z16 who´s minimum homogenous weight is 67.

Homogenous weight enumerator: w(x)=1x^0+60x^67+355x^68+870x^69+1278x^70+2306x^71+3452x^72+5718x^73+6095x^74+8834x^75+8018x^76+8716x^77+6157x^78+5766x^79+3185x^80+2074x^81+1110x^82+680x^83+415x^84+202x^85+104x^86+76x^87+28x^88+20x^89+6x^90+6x^91+1x^94+2x^96+1x^106

The gray image is a code over GF(2) with n=608, k=16 and d=268.
This code was found by Heurico 1.16 in 58.9 seconds.