The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  8  1  4  1  1  2  1  2  1  2  4  4  1  1  8  2  2  1 12  1
 0  2  0  2  8  0  6 14  0  8  6  2  0 10  0  2  2  6  4  4  4 14 14 12 10 12  8 10 10  0  8  2  4  2  4  2  8 12 14  2 14 14  4  0 10  4  0 14  0 12 12 14  6 14 12  4  6 12 14  2 10  8  4  2  8 10  2 12  0  6 14  8  2  6 14  2 14  6 14  2 12
 0  0  2  2  0 14  6  8  4 10  2  8 14 14  4  4 12  6  4  2 10  4  2 12  6  4 10  0 12  2  0  2  6  0  0 14 12  6  2 12 10 12  8 14 14  4 14  0  4  2 14  8  8  4 10 14  4  0 14  2 10  2 12  4  0  2  4  8 14 14  0  2  0 14 14  4  8  4 12  2 10
 0  0  0  4 12 12  8 12  4 12  0 12  8  4  0  0  4  0  4  0  4  8 12  0  0  8  8  8 12  4  4 12  0  4  8 12 12 12  8  8  4  4 12  4  8 12  0  8  8  8  4  4  0  0 12  8 12  4 12  0  8  4  8  0  8 12  8  0  4  4 12  4 12  0  0  8  4 12  0  4 12

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

Homogenous weight enumerator: w(x)=1x^0+435x^76+52x^77+436x^78+312x^79+628x^80+544x^81+432x^82+328x^83+495x^84+44x^85+308x^86+47x^88+8x^90+25x^92+1x^140

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 49.5 seconds.