The generator matrix

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

generates a code of length 90 over Z16 who´s minimum homogenous weight is 83.

Homogenous weight enumerator: w(x)=1x^0+72x^83+391x^84+984x^85+1025x^86+1544x^87+1621x^88+1988x^89+1836x^90+1834x^91+1503x^92+1282x^93+810x^94+616x^95+338x^96+220x^97+84x^98+74x^99+37x^100+58x^101+21x^102+20x^103+10x^104+12x^105+2x^112+1x^116

The gray image is a code over GF(2) with n=720, k=14 and d=332.
This code was found by Heurico 1.16 in 4.9 seconds.