The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+132x^71+322x^72+774x^73+1472x^74+1878x^75+2711x^76+3320x^77+3811x^78+4394x^79+3846x^80+3108x^81+2479x^82+1924x^83+1210x^84+612x^85+382x^86+148x^87+83x^88+46x^89+32x^90+30x^91+14x^92+12x^93+11x^94+6x^95+4x^96+5x^98+1x^100

The gray image is a code over GF(2) with n=632, k=15 and d=284.
This code was found by Heurico 1.16 in 17.3 seconds.