The generator matrix

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

generates a code of length 93 over Z16 who´s minimum homogenous weight is 83.

Homogenous weight enumerator: w(x)=1x^0+44x^83+181x^84+196x^85+522x^86+588x^87+1758x^88+1580x^89+3057x^90+2674x^91+4282x^92+3200x^93+4291x^94+2752x^95+3044x^96+1482x^97+1561x^98+506x^99+502x^100+174x^101+131x^102+72x^103+57x^104+18x^105+28x^106+16x^107+26x^108+6x^109+5x^110+2x^111+3x^112+1x^114+1x^116+3x^118+2x^119+1x^120+1x^122

The gray image is a code over GF(2) with n=744, k=15 and d=332.
This code was found by Heurico 1.16 in 84.8 seconds.