The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  6  1  1  0  1  1  1 12  1  1 10  1  1  6  0  1  1  1 12  1  1 10  1  0  1  1  6  1  1  1  1  1  6  1  1 12 10  1  1  1  0  1  0 12  1  1  1  1 10  1 12  1  1  6  1  1  1 12  1  1  1  1  1 10  1  1 10  0  1  1  1  1  0  1  1  1  1
 0  1  3  6  5  1 12  7  1 10  9  1  6  1  3  0  1  5 12  9  1 10 15  1 15  6  1  1  5  0 12  1  3 10  1  9  1 12  3  1  6 10  5  9  0  1 15 10  1  1  0  5 12  1  3  1  1  6  6 12  6  1  5  1  0  0  1 10  9 10  1 10 15  6  5 10  1  5  6  1  1  5  8  3  9  1  6  0  0  0
 0  0  8  0  0  0  0  0  0  0  0  0  0  0  8  0  8  0  8  0  0  0  0  8  8  8  8  8  8  0  0  0  8  8  0  0  8  8  0  8  8  8  0  0  0  8  8  8  0  8  8  8  0  8  8  8  0  0  8  0  8  0  0  8  0  0  0  8  8  8  8  0  0  0  0  0  8  8  0  0  0  0  8  8  8  0  8  8  0  0
 0  0  0  8  0  0  0  0  0  0  0  0  8  0  0  8  8  8  8  8  0  8  0  8  0  0  8  0  8  0  8  0  8  8  0  8  0  0  8  8  0  8  8  0  0  8  0  8  8  0  8  8  8  0  8  0  0  8  0  0  8  0  8  0  0  0  8  0  0  0  0  8  8  8  0  0  0  0  8  8  8  8  8  0  8  8  8  8  0  0
 0  0  0  0  8  0  0  0  0  0  0  0  0  0  0  0  0  0  0  8  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  8  8  0  8  8  8  8  0  8  8  8  0  8  0  8  8  8  8  8  8  0  8  0  8  8  8  8  0  8  8  8  0  0  8  8  0  8  8  0  0  8  0  8  8  0  0  8  0  0  8  0  0
 0  0  0  0  0  8  0  0  0  0  0  0  0  8  0  8  8  8  0  8  8  0  8  8  8  0  8  0  0  0  8  0  8  0  8  8  8  8  0  0  8  8  0  8  8  0  0  8  8  8  8  8  0  0  8  8  0  8  8  8  0  8  0  0  0  0  8  0  8  8  8  8  0  8  0  8  8  0  0  8  8  8  0  0  8  8  0  8  0  0
 0  0  0  0  0  0  8  0  0  0  8  0  8  0  8  0  8  8  0  8  8  8  8  0  0  8  8  0  8  0  0  8  8  8  0  8  8  8  0  8  8  0  0  8  8  8  8  0  8  8  0  0  8  8  8  8  8  8  8  8  8  0  8  0  8  8  8  8  0  0  8  0  8  8  0  0  8  0  0  8  0  0  0  0  0  8  0  8  0  0
 0  0  0  0  0  0  0  8  0  0  0  8  0  8  8  0  0  8  8  0  0  8  8  0  8  0  8  8  0  0  0  8  0  0  8  0  0  8  0  0  8  8  8  0  8  8  0  0  8  8  8  8  8  8  8  8  8  8  8  0  0  0  0  0  0  8  8  0  8  0  8  8  8  0  8  0  8  0  8  0  0  0  0  8  8  8  8  8  0  0
 0  0  0  0  0  0  0  0  8  0  8  8  0  8  8  8  8  8  0  8  8  0  0  0  8  0  0  0  8  0  8  8  0  0  8  0  8  8  0  8  0  0  8  0  0  0  0  0  0  0  8  0  0  0  8  8  0  8  0  0  8  8  8  8  8  8  0  8  0  8  8  0  8  8  0  0  0  8  8  8  8  0  0  0  0  0  0  0  0  0
 0  0  0  0  0  0  0  0  0  8  8  0  8  0  8  8  0  0  8  0  8  0  0  0  8  0  8  0  8  8  8  0  8  0  8  0  0  8  0  8  8  8  0  8  8  8  0  8  8  0  0  0  8  8  8  0  0  8  0  0  0  0  0  0  8  8  0  8  0  0  0  0  0  8  0  8  8  0  8  0  0  0  8  8  8  8  0  0  0  0

generates a code of length 90 over Z16 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+75x^76+4x^77+46x^78+60x^79+282x^80+284x^81+232x^82+956x^83+1086x^84+2788x^85+2722x^86+5884x^87+6040x^88+8456x^89+7824x^90+8456x^91+6001x^92+5884x^93+2722x^94+2788x^95+1013x^96+956x^97+232x^98+284x^99+214x^100+60x^101+46x^102+4x^103+67x^104+43x^108+19x^112+4x^116+1x^120+1x^124+1x^128

The gray image is a code over GF(2) with n=720, k=16 and d=304.
This code was found by Heurico 1.16 in 79.6 seconds.