The generator matrix

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

generates a code of length 81 over Z16 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+173x^76+322x^77+472x^78+452x^79+457x^80+414x^81+456x^82+480x^83+448x^84+182x^85+140x^86+54x^87+12x^88+8x^89+5x^90+2x^92+6x^94+6x^95+2x^96+2x^97+1x^108+1x^114

The gray image is a code over GF(2) with n=648, k=12 and d=304.
This code was found by Heurico 1.16 in 0.613 seconds.