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  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  2  2  2  2  2  1  2  4  2  1  4  4  1  1  2  0  2  1  2  1  1  1  0  8  8  1  4  1  2  1  1  2  8  1  4  1  4  1  1  2  1  4  1  1
 0 12  0  0  0  0  0  0  0 12 12  4  4  4  4  4  0 12  8  4 12  4  4  8  4  0  8  8 12 12  8  4  4  0  4  8 12  0 12 12  8 12 12  8  8  8  4  8  8 12  0  8 12  0  4  0 12 12  4 12  8 12 12  4  8 12 12  8  0 12 12  4  4  0  4  0  4  8 12  4  8  8  4  4  0 12  8  4  4  4  8  4  4
 0  0 12  0  0  0  4 12  4  4 12  8  4  8  8  4  0  4  8  8 12 12  0  4  8  8  4  4  0 12 12  8 12  4  0  0  0  0 12  4  0  4  4 12 12  8  4 12  0  4  4 12  8 12  4  8 12 12  4  0  0 12 12  4  0  8  0 12  0 12  8  0 12  0  0  4  4  4  4  0 12  4  4 12  4  4  0  8 12  8 12  8  4
 0  0  0 12  0  4  4 12  0  8 12 12 12 12  8  0 12  0  0 12  4  4 12  0 12  8 12  4  8  8  0  0  4  8  0 12  4  0 12  8  8 12  8  0 12  4  0  4  0  8 12  0 12  4 12  0  4  4 12  8  8  8  0  0  0  4  0  8 12 12  8  0 12  4  0  0  8 12  0  0 12  0  4  0  4  0  4  8 12  8  4 12  4
 0  0  0  0 12  4  0 12  4 12  8  4 12  8 12  0  4  4  4  4  4  8  0 12  8  0 12  0  8  8 12  4  8  8  0  8  0  8  8  4  0  4  0  0  8  0  8  4  4 12  0  4  4  4 12  4  8  0  8  0 12  0 12  8  4  4  0  8 12 12  0  0  4  4  8  0 12  4  4  8  4 12  4  0 12  4  4  4  0  4  0  8  4
 0  0  0  0  0  8  0  0  8  8  0  8  0  0  8  8  0  0  8  0  8  8  0  0  8  0  0  0  8  8  8  0  0  8  0  0  8  8  0  0  0  8  0  8  8  8  0  0  8  8  8  8  8  8  8  0  8  0  0  8  0  0  0  0  8  0  8  0  8  8  0  0  0  0  0  8  8  8  0  8  0  8  0  8  8  8  0  0  8  8  8  8  0
 0  0  0  0  0  0  8  0  8  8  8  0  0  0  8  8  0  8  8  8  8  0  8  0  0  8  8  0  8  0  0  8  0  8  0  0  0  8  8  8  8  8  0  0  8  0  0  0  0  8  8  8  0  0  0  0  0  0  0  0  8  8  0  8  8  8  8  0  8  0  8  8  0  0  8  0  8  0  8  0  8  0  8  0  0  8  8  0  8  8  0  0  0
 0  0  0  0  0  0  0  8  0  0  0  0  8  0  0  8  8  8  0  8  0  8  0  8  8  0  8  0  0  0  8  0  8  0  8  8  0  8  8  0  8  8  0  8  0  0  8  0  0  8  0  8  8  8  0  8  8  8  0  8  0  0  0  0  0  0  8  0  0  8  0  8  8  0  8  0  8  8  0  8  0  0  0  8  8  0  0  0  0  8  8  0  0

generates a code of length 93 over Z16 who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+69x^80+108x^81+199x^82+280x^83+355x^84+398x^85+489x^86+780x^87+977x^88+1710x^89+2439x^90+3030x^91+3611x^92+3798x^93+4070x^94+3104x^95+2088x^96+1696x^97+1025x^98+756x^99+459x^100+344x^101+222x^102+162x^103+173x^104+108x^105+104x^106+68x^107+63x^108+28x^109+26x^110+10x^111+12x^112+2x^113+2x^115+1x^122+1x^134

The gray image is a code over GF(2) with n=744, k=15 and d=320.
This code was found by Heurico 1.16 in 45.8 seconds.