The generator matrix

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

generates a code of length 97 over Z16 who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+185x^92+272x^93+655x^94+366x^95+493x^96+312x^97+515x^98+336x^99+454x^100+202x^101+188x^102+30x^103+44x^104+12x^105+13x^106+4x^107+5x^108+2x^109+1x^114+2x^120+3x^122+1x^142

The gray image is a code over GF(2) with n=776, k=12 and d=368.
This code was found by Heurico 1.16 in 1.25 seconds.