The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+204x^75+639x^76+1662x^77+2963x^78+3884x^79+5253x^80+6824x^81+7548x^82+7886x^83+7892x^84+6774x^85+5150x^86+3692x^87+2315x^88+1352x^89+795x^90+350x^91+130x^92+112x^93+46x^94+6x^95+23x^96+6x^97+7x^98+8x^99+3x^100+4x^101+1x^102+2x^103+2x^105+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 59.6 seconds.