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

generates a code of length 93 over Z16 who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+58x^84+154x^85+388x^86+526x^87+864x^88+790x^89+1373x^90+1594x^91+1789x^92+1660x^93+1824x^94+1588x^95+1258x^96+758x^97+551x^98+370x^99+331x^100+124x^101+140x^102+68x^103+69x^104+28x^105+32x^106+12x^107+10x^108+6x^109+11x^110+2x^111+4x^112+1x^134

The gray image is a code over GF(2) with n=744, k=14 and d=336.
This code was found by Heurico 1.16 in 8.57 seconds.