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

generates a code of length 96 over Z16 who´s minimum homogenous weight is 91.

Homogenous weight enumerator: w(x)=1x^0+218x^91+252x^92+598x^93+408x^94+510x^95+267x^96+526x^97+333x^98+434x^99+244x^100+210x^101+22x^102+50x^103+4x^104+10x^105+2x^106+1x^110+4x^115+1x^126+1x^146

The gray image is a code over GF(2) with n=768, k=12 and d=364.
This code was found by Heurico 1.16 in 3.63 seconds.