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

generates a code of length 93 over Z16 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+138x^82+346x^84+24x^85+523x^86+140x^87+701x^88+576x^89+1401x^90+1400x^91+2009x^92+1872x^93+2259x^94+1392x^95+1307x^96+576x^97+726x^98+136x^99+274x^100+24x^101+218x^102+4x^103+153x^104+97x^106+56x^108+7x^110+14x^112+6x^114+2x^116+1x^118+1x^140

The gray image is a code over GF(2) with n=744, k=14 and d=328.
This code was found by Heurico 1.16 in 14.2 seconds.