The generator matrix

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

generates a code of length 83 over Z16 who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+194x^75+798x^76+1690x^77+2441x^78+4286x^79+5190x^80+6788x^81+7603x^82+8124x^83+7359x^84+6840x^85+5299x^86+3954x^87+2218x^88+1400x^89+582x^90+384x^91+150x^92+106x^93+63x^94+8x^95+25x^96+4x^97+9x^98+10x^99+1x^100+4x^101+1x^102+2x^104+2x^106

The gray image is a code over GF(2) with n=664, k=16 and d=300.
This code was found by Heurico 1.16 in 89.2 seconds.