The generator matrix

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

generates a code of length 81 over Z16 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+79x^74+364x^75+727x^76+978x^77+1625x^78+1444x^79+2214x^80+1856x^81+2257x^82+1248x^83+1559x^84+826x^85+565x^86+330x^87+114x^88+56x^89+44x^90+32x^91+20x^92+24x^93+6x^94+6x^95+2x^96+4x^97+1x^104+2x^108

The gray image is a code over GF(2) with n=648, k=14 and d=296.
This code was found by Heurico 1.16 in 4.94 seconds.