The generator matrix

 1  0  1  1  1  4  2  1  1  1  6  1  1  8  1  1  1 14  1  1 10  0  1  1  0  1  1  1  1 10  1  1  1  4  1  1 10  1  1 10  0  1  1  1  1 12  1  1  1  1  1 10  1  2  4  1  1  0  1  6  1  1 12  4  2  1  1  1 12  2  1  1  1  4 14  1  6 14  6  1  1  8  4  1  0 12  8  1  1 12  2  2  1  1  1  0
 0  1  1  6  7  1  1  4  7 10  1  5 12  1  9 11  2  1  3  4  1  1 10  9  1  5  0  5  6  1 12  7  2  1  2 15  1  4  2  1  1  1  4  3  3  1  2  5 14  3 13  1  4  1  1 15  9  1 13  1 10 10  0  1  1  8 12  0  1  1  3  3  5  1  1 15  1  1  1  0 14  1  4  1  1  1  1  2  2  2 10 14  3  3 15  1
 0  0  2  0 14 10  6 10  8  6  0  8  8 10  0  0  8 14 14  6 12  4  2 10  6 10  4  4  4  2 14  2  2  6  0 12  4  2  2  0  4  8 12  0 10  2  6 12  8  6  6 10 10  4  4 12  8  0 14  4  0  0  2  2  6 12  0  2 12 10  8 14 10  8 12  6 10 10 10 12 14  4  2 14 14  6 10  6 14 14  6  6  6 10 10 12
 0  0  0 12  0  0  4  0 12  0  0  0  8  8  8 12 12 12  8  4  4  4 12 12  0  4  8  0 12  4  8  8  0  4  4 12 12  4  4  4  8  4  8  8 12  4 12  4  8  0  8  8  8  0 12  0  0  0  4  4  0  4  8  4  0  8  4  4  0  4  4  4  8 12  8 12 12  4  8 12  0  4 12  4  4  8  0  0  8 12  4  0  4  0 12  8
 0  0  0  0  8  8  0  0  0  8  8  8  8  0  0  8  8  8  8  8  0  8  0  0  8  8  0  8  0  0  0  0  8  8  8  0  8  8  0  0  0  8  8  0  8  0  8  8  0  0  8  0  8  0  0  8  0  8  0  8  0  0  0  8  8  8  8  0  0  8  0  8  0  8  8  8  8  0  8  8  8  0  0  8  0  8  0  0  8  8  0  0  0  8  8  8

generates a code of length 96 over Z16 who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+176x^89+445x^90+732x^91+1479x^92+1394x^93+1731x^94+1532x^95+1836x^96+1600x^97+1757x^98+1120x^99+1075x^100+528x^101+496x^102+166x^103+93x^104+88x^105+25x^106+58x^107+7x^108+22x^109+8x^110+6x^111+1x^114+2x^115+2x^116+2x^120+1x^124+1x^126

The gray image is a code over GF(2) with n=768, k=14 and d=356.
This code was found by Heurico 1.16 in 6.38 seconds.