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

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

Homogenous weight enumerator: w(x)=1x^0+52x^75+141x^76+244x^77+379x^78+502x^79+633x^80+816x^81+903x^82+926x^83+989x^84+836x^85+578x^86+454x^87+294x^88+160x^89+109x^90+62x^91+43x^92+16x^93+7x^94+8x^95+8x^97+3x^98+8x^99+11x^100+4x^102+4x^103+1x^122

The gray image is a code over GF(2) with n=664, k=13 and d=300.
This code was found by Heurico 1.16 in 2.38 seconds.