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  2  0  1  1  2  1 12  1  1  1  2  0  1  1  1  1 12  1  1  1  1  2  1  1  1  1  1  1  1  2  1  0  1  2  1  1  1  1 12  1  1  1  0  1  1  1  2 12  1  2  1  2  2  1  0  0  1  1  1  1  1  2  1  1  1  1  2  2  1  1
 0  2 12  6  0  6 12 10  0  6 12 10  4 10  0  6 14  8 12 10  0  6 12 10  6  2  6 10 10 12  2  4  0  6  6  2 10  0  6 12  2  0 14 10 12 10  0 10  0  2  6  2  2  6 12  2  8 10  4  6 14  6  2 10 14 10  2 14  4  8  6  2  8 10  8  6 10 12  2  2  0  8  0  2 12  6  6 10  4  6 10  6  0  0
 0  0  8  0  0  0  0  0  0  0  0  0  8  0  0  0  0  0  8  8  8  8  0  8  8  8  8  8  8  0  8  8  8  8  8  8  0  0  8  0  8  0  0  8  0  0  0  0  8  8  0  0  8  0  0  8  8  0  0  0  0  8  0  0  0  8  8  0  8  0  8  8  8  8  8  0  8  8  8  8  0  0  0  0  0  0  0  0  0  8  8  0  0  0
 0  0  0  8  0  0  0  0  0  8  0  0  0  0  0  8  8  0  0  0  0  0  0  0  0  0  8  8  8  0  8  0  0  8  8  8  0  8  8  8  8  8  0  8  8  8  8  0  0  8  0  0  8  8  8  8  8  0  0  0  8  0  0  8  8  0  0  0  8  8  0  0  0  8  8  8  0  8  8  8  8  8  8  8  0  0  0  0  0  0  0  8  0  0
 0  0  0  0  8  0  0  0  0  0  8  0  8  0  8  8  8  8  8  8  0  8  8  0  8  0  0  8  0  0  8  0  8  0  0  0  8  8  0  0  8  8  0  8  0  0  8  8  8  8  0  0  0  0  0  0  8  0  8  8  8  0  8  0  0  8  0  8  8  0  8  0  8  0  8  8  0  8  0  8  8  0  0  0  0  8  8  8  8  8  8  0  8  0
 0  0  0  0  0  8  0  0  0  8  0  8  0  8  8  0  8  8  0  0  8  0  8  0  8  8  0  8  8  0  0  8  8  8  8  8  0  8  0  8  0  0  0  8  0  8  0  8  8  8  0  8  0  0  0  0  0  0  8  8  8  0  0  8  0  0  0  8  0  8  8  8  8  8  8  8  0  8  8  8  0  0  0  0  8  0  0  8  0  8  0  8  8  0
 0  0  0  0  0  0  8  0  0  0  0  0  8  0  8  0  0  8  0  0  8  0  8  0  0  0  8  8  8  8  8  0  8  8  0  8  8  0  0  0  8  8  8  0  0  0  0  8  0  0  8  8  0  8  8  0  0  8  8  8  8  0  0  8  8  0  8  0  0  0  0  8  8  8  0  0  8  8  0  8  0  0  0  0  0  8  8  8  0  8  0  8  0  0
 0  0  0  0  0  0  0  8  0  0  0  8  0  0  0  8  8  0  8  0  8  8  8  0  0  8  0  8  0  8  8  8  0  8  8  0  8  8  0  0  8  0  0  0  8  0  0  0  8  0  8  8  0  8  8  8  8  0  8  8  8  8  0  8  0  8  8  8  8  8  0  8  8  8  8  8  0  8  0  0  8  8  0  0  8  8  0  8  8  0  0  0  0  0
 0  0  0  0  0  0  0  0  8  0  8  8  8  8  8  8  8  0  0  0  8  0  0  8  0  0  8  0  0  8  8  8  8  8  0  8  0  8  8  8  0  8  0  8  0  0  8  0  8  0  8  0  0  0  8  0  8  0  8  0  0  8  0  0  0  8  0  0  0  0  8  0  8  8  8  8  0  0  8  8  8  8  0  8  8  0  8  0  8  0  8  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+24x^82+18x^83+97x^84+70x^85+266x^86+206x^87+483x^88+442x^89+1090x^90+756x^91+2255x^92+1068x^93+2920x^94+1068x^95+2244x^96+756x^97+1056x^98+442x^99+445x^100+206x^101+233x^102+70x^103+69x^104+18x^105+22x^106+22x^108+9x^110+11x^112+8x^114+4x^116+3x^118+1x^124+1x^142

The gray image is a code over GF(2) with n=752, k=14 and d=328.
This code was found by Heurico 1.16 in 10.4 seconds.