The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+244x^83+928x^84+1482x^85+2282x^86+3072x^87+3364x^88+3722x^89+3755x^90+3408x^91+3070x^92+2636x^93+1804x^94+1270x^95+807x^96+378x^97+284x^98+112x^99+42x^100+38x^101+30x^102+14x^103+8x^104+5x^106+8x^107+4x^108

The gray image is a code over GF(2) with n=720, k=15 and d=332.
This code was found by Heurico 1.16 in 15.8 seconds.