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  2  1  0  1  2  1 12  1  1  1  2  1  1  1  1  1  0  1  2  1 12  1  1  1  1  1  1  0  1  1 12  1  2  1  1  2  1  1  0  2  1  1  0  1  1 12  1  2  1  1  1  0  1  1  2  1  1  2  1  1 12  1  8  1  0  2  0  8  1  2  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  6  0  2  0 10 10  2  2 12 12  6 14 10 12 10  4  2  0 10  6  2 10 14  0  8  4  2  2  6 14  2 12 10  0  6  6  2  4  2  6  8  2  2 10  2  2  0 10 14  8  4  2 12  0  6  2 10  6 10  6  2  8  2 12  2  6  2  8  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  0  8  8  8  0  0  8  8  0  8  0  8  8  8  8  0  0  8  8  8  0  0  8  8  0  0  0  0  8  0  0  0  8  0  0  0  0  0  0  8  8  8  0  8  8  8  0  8  8  0  0  0  0  0  8  0  8  8  0  0  0  8  8  8  8  8  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  8  8  8  8  8  8  8  0  0  8  0  8  8  0  8  8  8  0  0  8  0  8  0  8  0  8  8  0  8  0  0  0  0  8  0  0  8  8  8  8  0  8  0  0  8  0  8  8  0  0  0  8  0  8  0  8  0  8  0  8  0  8  8  8  8  8  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  0  0  0  8  8  8  0  0  8  0  0  8  8  0  8  0  0  8  0  8  0  8  8  8  0  0  0  0  8  0  0  8  8  8  0  8  0  8  8  8  0  0  8  0  0  0  0  0  8  8  8  0  0  8  0  0  8  0  0  8  0  0  0  8  8  0  8  8  8  8  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  0  0  0  8  0  0  0  0  8  0  0  8  0  0  8  0  8  8  8  0  8  8  8  8  0  8  8  0  8  8  0  0  0  0  8  8  8  0  8  0  8  0  8  0  0  8  0  8  8  0  0  8  0  8  8  8  0  8  8  0  8  0  0  8  0  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  0  0  0  8  8  8  8  8  8  0  0  8  0  8  8  0  8  8  0  8  0  0  8  0  0  0  8  8  8  0  0  0  8  0  8  8  8  0  8  0  0  8  0  8  8  8  8  8  0  8  0  0  0  8  8  8  8  8  8  0  0  8  0  0  0  8  8  8  8  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  8  0  0  8  8  0  0  8  0  0  8  0  0  0  8  8  8  0  8  8  8  0  8  0  0  8  8  8  8  0  8  8  8  0  8  8  0  8  0  8  8  0  8  0  0  0  8  0  0  8  0  8  8  8  0  0  8  0  0  8  8  0  8  0  0  8  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  0  8  0  0  8  8  8  0  8  8  0  8  0  8  0  0  0  8  0  8  8  8  0  0  8  8  0  8  8  0  0  0  0  8  8  8  8  0  0  8  8  8  8  8  8  0  8  8  8  0  8  8  0  0  0  0  0  8  0  0  8  0  0  0  0  8  0

generates a code of length 96 over Z16 who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+42x^84+28x^85+92x^86+68x^87+296x^88+210x^89+643x^90+376x^91+1209x^92+744x^93+2139x^94+1180x^95+2569x^96+1072x^97+2001x^98+740x^99+1241x^100+408x^101+644x^102+176x^103+218x^104+94x^105+78x^106+20x^107+31x^108+4x^109+12x^110+14x^112+11x^114+5x^116+8x^118+6x^120+2x^122+1x^126+1x^138

The gray image is a code over GF(2) with n=768, k=14 and d=336.
This code was found by Heurico 1.16 in 10.8 seconds.