The generator matrix

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

generates a code of length 93 over Z16 who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+218x^87+853x^88+1400x^89+1759x^90+1686x^91+2012x^92+1672x^93+1846x^94+1190x^95+1265x^96+952x^97+584x^98+330x^99+251x^100+140x^101+93x^102+64x^103+28x^104+24x^105+4x^106+5x^108+4x^109+1x^110+1x^112+1x^114

The gray image is a code over GF(2) with n=744, k=14 and d=348.
This code was found by Heurico 1.16 in 4.19 seconds.