The generator matrix

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

generates a code of length 96 over Z16 who´s minimum homogenous weight is 90.

Homogenous weight enumerator: w(x)=1x^0+334x^90+818x^91+1387x^92+1630x^93+1938x^94+1812x^95+1818x^96+1456x^97+1454x^98+1096x^99+983x^100+658x^101+410x^102+204x^103+190x^104+92x^105+41x^106+30x^107+4x^108+4x^109+13x^110+8x^111+1x^112+1x^114+1x^126

The gray image is a code over GF(2) with n=768, k=14 and d=360.
This code was found by Heurico 1.16 in 4.46 seconds.