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

generates a code of length 98 over Z16 who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+50x^85+132x^86+270x^87+309x^88+344x^89+414x^90+538x^91+703x^92+1050x^93+1408x^94+2322x^95+3107x^96+3716x^97+4314x^98+3654x^99+3179x^100+2292x^101+1357x^102+978x^103+629x^104+488x^105+363x^106+302x^107+188x^108+186x^109+163x^110+94x^111+59x^112+60x^113+33x^114+34x^115+14x^116+6x^117+8x^118+2x^120+1x^136

The gray image is a code over GF(2) with n=784, k=15 and d=340.
This code was found by Heurico 1.16 in 48.6 seconds.