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

generates a code of length 89 over Z16 who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+61x^78+196x^80+16x^81+558x^82+80x^83+758x^84+720x^85+1314x^86+2064x^87+1149x^88+2608x^89+1491x^90+1776x^91+1017x^92+752x^93+970x^94+176x^95+390x^96+173x^98+47x^100+27x^102+11x^104+9x^106+9x^108+3x^110+5x^112+1x^114+1x^118+1x^132

The gray image is a code over GF(2) with n=712, k=14 and d=312.
This code was found by Heurico 1.16 in 9.81 seconds.