The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+112x^73+391x^74+848x^75+1387x^76+1984x^77+2784x^78+3414x^79+3344x^80+4446x^81+3779x^82+3338x^83+2544x^84+1700x^85+1046x^86+786x^87+391x^88+144x^89+148x^90+76x^91+32x^92+28x^93+9x^94+14x^95+8x^96+2x^97+2x^98+2x^99+5x^100+1x^102+2x^103

The gray image is a code over GF(2) with n=648, k=15 and d=292.
This code was found by Heurico 1.16 in 17.7 seconds.