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

generates a code of length 93 over Z16 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+43x^82+114x^83+274x^84+560x^85+480x^86+1048x^87+1011x^88+2002x^89+2444x^90+2842x^91+4052x^92+3432x^93+3990x^94+2802x^95+2325x^96+1914x^97+964x^98+904x^99+421x^100+486x^101+219x^102+206x^103+73x^104+44x^105+40x^106+20x^107+28x^108+10x^109+6x^110+6x^112+4x^114+1x^116+1x^118+1x^130

The gray image is a code over GF(2) with n=744, k=15 and d=328.
This code was found by Heurico 1.16 in 31.6 seconds.