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

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

Homogenous weight enumerator: w(x)=1x^0+100x^83+246x^84+364x^85+694x^86+568x^87+969x^88+878x^89+1080x^90+740x^91+851x^92+516x^93+382x^94+212x^95+194x^96+118x^97+86x^98+44x^99+55x^100+28x^101+44x^102+12x^103+4x^104+1x^106+4x^107+1x^138

The gray image is a code over GF(2) with n=720, k=13 and d=332.
This code was found by Heurico 1.16 in 1.97 seconds.