The generator matrix

 1  0  1  1  6  1  1  1  6  1 12  1  1  2  1  4  1  1  1 10  1 10  1  1  1  1 14  1  0  1  4  0  1  1  1  1  4  1  1 10  1  1  1  6  1  1  1 12  1  4  1  1  1  1  1  0  1  1  1  1  1  4  1  4  1  2  1  0  2  1  1  2  8  1  1  4  1
 0  1  1  6  1  3  5  4  1  2  1  7  9  1  6  1  2 13  8  1  7  1  9 14  3 14  1  9  1 12  1  1  4 11 15 12  1  7  6  1  0 15  0  1  4  3  2  1  3  2  5  8  2  4  9  8  4  5  7  6  2  1  2  4 11 12  9  1  1  8  2  0  1 15  1  1  8
 0  0  2  0  0  8  8 10  6 10 14 10 14 10  6  4  4  4 10  0 12  6  2  4  6  2 12  8  6  0  2 12 12 12  2 14  0  8 14  2  4 14 14 12  0 14 12  6  4  6  8 14 14 12  0  2  6 14 10  8  2 12  0  2  6 14 14  8  0  2 14 14  8  0  6  4  4
 0  0  0  8  0  8  0  0  8  8  0  0  8  0  0  8  8  0  8  8  8  8  8  0  8  0  0  8  0  8  0  0  0  0  8  0  8  0  8  8  0  0  8  8  0  0  8  8  8  8  8  8  0  8  0  0  8  0  8  0  8  8  0  0  0  8  8  8  0  0  8  0  0  0  0  0  0
 0  0  0  0  8  0  8  0  0  8  8  8  0  0  8  0  8  0  0  8  8  8  8  8  0  8  0  0  0  8  8  0  0  8  0  8  0  0  8  0  8  0  8  0  8  8  0  0  0  8  8  0  0  8  0  8  8  0  8  8  0  8  0  0  0  8  8  8  0  8  0  8  8  8  8  8  0

generates a code of length 77 over Z16 who´s minimum homogenous weight is 71.

Homogenous weight enumerator: w(x)=1x^0+60x^71+387x^72+628x^73+768x^74+846x^75+1093x^76+1020x^77+1087x^78+628x^79+591x^80+432x^81+307x^82+162x^83+67x^84+24x^85+28x^86+32x^87+16x^88+8x^89+1x^90+4x^92+1x^96+1x^102

The gray image is a code over GF(2) with n=616, k=13 and d=284.
This code was found by Heurico 1.16 in 1.38 seconds.