The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+114x^75+388x^76+850x^77+1367x^78+2030x^79+3045x^80+2860x^81+4010x^82+3902x^83+4050x^84+2870x^85+2812x^86+1762x^87+1194x^88+600x^89+377x^90+228x^91+107x^92+92x^93+34x^94+24x^95+12x^96+18x^97+5x^98+4x^99+2x^100+4x^101+3x^102+2x^105+1x^108

The gray image is a code over GF(2) with n=664, k=15 and d=300.
This code was found by Heurico 1.16 in 18.3 seconds.