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

generates a code of length 94 over Z16 who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+27x^80+72x^81+144x^82+206x^83+241x^84+344x^85+489x^86+620x^87+850x^88+1150x^89+1856x^90+2274x^91+3008x^92+3568x^93+3275x^94+3514x^95+2986x^96+2336x^97+1862x^98+1154x^99+773x^100+516x^101+406x^102+300x^103+201x^104+154x^105+124x^106+106x^107+78x^108+52x^109+27x^110+14x^111+20x^112+6x^114+4x^115+4x^116+3x^118+1x^120+2x^128

The gray image is a code over GF(2) with n=752, k=15 and d=320.
This code was found by Heurico 1.16 in 46.4 seconds.