The generator matrix

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

generates a code of length 93 over Z16 who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+244x^85+1127x^86+1760x^87+3285x^88+3852x^89+5707x^90+6006x^91+7419x^92+7470x^93+7482x^94+6252x^95+5176x^96+3398x^97+2879x^98+1342x^99+1081x^100+484x^101+283x^102+102x^103+87x^104+36x^105+24x^106+20x^107+4x^108+2x^109+2x^110+6x^111+1x^112+2x^113+2x^116

The gray image is a code over GF(2) with n=744, k=16 and d=340.
This code was found by Heurico 1.16 in 60.8 seconds.