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

generates a code of length 81 over Z16 who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+108x^73+324x^74+510x^75+818x^76+1004x^77+1212x^78+1356x^79+2110x^80+1820x^81+2030x^82+1426x^83+1204x^84+866x^85+564x^86+346x^87+243x^88+144x^89+114x^90+66x^91+65x^92+22x^93+12x^94+6x^95+6x^96+4x^97+2x^99+1x^116

The gray image is a code over GF(2) with n=648, k=14 and d=292.
This code was found by Heurico 1.16 in 6.66 seconds.