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

generates a code of length 97 over Z16 who´s minimum homogenous weight is 91.

Homogenous weight enumerator: w(x)=1x^0+312x^91+951x^92+1340x^93+1743x^94+1568x^95+1977x^96+1574x^97+1854x^98+1362x^99+1242x^100+780x^101+692x^102+328x^103+210x^104+194x^105+136x^106+70x^107+16x^108+16x^109+6x^110+8x^111+2x^112+1x^116+1x^118

The gray image is a code over GF(2) with n=776, k=14 and d=364.
This code was found by Heurico 1.16 in 5.22 seconds.