The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+124x^76+740x^77+933x^78+1268x^79+1007x^80+1102x^81+681x^82+650x^83+515x^84+430x^85+250x^86+202x^87+112x^88+128x^89+21x^90+24x^91+3x^94+1x^100

The gray image is a code over GF(2) with n=648, k=13 and d=304.
This code was found by Heurico 1.16 in 1.07 seconds.