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

generates a code of length 79 over Z16 who´s minimum homogenous weight is 71.

Homogenous weight enumerator: w(x)=1x^0+148x^71+240x^72+588x^73+759x^74+1032x^75+1272x^76+1682x^77+1623x^78+2074x^79+1685x^80+1474x^81+1201x^82+1016x^83+530x^84+394x^85+225x^86+164x^87+91x^88+66x^89+28x^90+40x^91+17x^92+20x^93+4x^94+6x^95+3x^96+1x^100

The gray image is a code over GF(2) with n=632, k=14 and d=284.
This code was found by Heurico 1.16 in 7.09 seconds.