The generator matrix

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

generates a code of length 82 over Z16 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+20x^70+60x^71+131x^72+264x^73+515x^74+942x^75+1348x^76+2454x^77+3694x^78+5110x^79+6707x^80+7546x^81+7949x^82+7550x^83+6818x^84+5300x^85+3683x^86+2396x^87+1246x^88+704x^89+441x^90+302x^91+106x^92+98x^93+60x^94+18x^95+14x^96+14x^97+11x^98+6x^99+6x^100+4x^101+7x^102+5x^104+4x^106+2x^108

The gray image is a code over GF(2) with n=656, k=16 and d=280.
This code was found by Heurico 1.16 in 72.2 seconds.