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

generates a code of length 79 over Z16 who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+74x^69+450x^70+722x^71+1247x^72+1740x^73+2602x^74+3194x^75+5105x^76+6130x^77+7460x^78+8136x^79+7664x^80+6206x^81+5197x^82+3170x^83+2377x^84+1464x^85+1131x^86+600x^87+340x^88+214x^89+177x^90+76x^91+30x^92+12x^93+6x^94+6x^95+4x^96+1x^110

The gray image is a code over GF(2) with n=632, k=16 and d=276.
This code was found by Heurico 1.16 in 87.1 seconds.