The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+208x^90+872x^91+1556x^92+1640x^93+1860x^94+1764x^95+1881x^96+1436x^97+1434x^98+1064x^99+1017x^100+644x^101+400x^102+212x^103+173x^104+132x^105+16x^106+24x^107+16x^108+20x^109+8x^110+3x^112+2x^114+1x^116

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 4.5 seconds.