The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+101x^92+410x^93+491x^94+536x^95+447x^96+536x^97+250x^98+486x^99+299x^100+218x^101+118x^102+82x^103+53x^104+12x^105+8x^106+10x^107+10x^108+8x^109+12x^110+6x^111+1x^134+1x^136

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 1.21 seconds.