The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+92x^73+356x^74+860x^75+1399x^76+1938x^77+2848x^78+3322x^79+3952x^80+3948x^81+3721x^82+3194x^83+2519x^84+1838x^85+1385x^86+622x^87+271x^88+214x^89+96x^90+66x^91+73x^92+24x^93+8x^94+6x^96+10x^97+3x^100+1x^102+1x^106

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 16.8 seconds.