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

generates a code of length 94 over Z16 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+246x^82+4x^83+501x^84+56x^85+785x^86+208x^87+1115x^88+712x^89+2034x^90+1924x^91+3481x^92+3220x^93+4406x^94+3244x^95+3494x^96+1956x^97+1960x^98+712x^99+945x^100+196x^101+607x^102+52x^103+426x^104+4x^105+260x^106+121x^108+58x^110+27x^112+12x^114+1x^136

The gray image is a code over GF(2) with n=752, k=15 and d=328.
This code was found by Heurico 1.16 in 99 seconds.