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

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

Homogenous weight enumerator: w(x)=1x^0+34x^73+98x^74+246x^75+367x^76+498x^77+664x^78+902x^79+982x^80+878x^81+957x^82+822x^83+592x^84+432x^85+270x^86+180x^87+83x^88+36x^89+49x^90+32x^91+13x^92+20x^93+6x^94+10x^95+8x^96+4x^97+2x^98+2x^100+2x^101+1x^102+1x^118

The gray image is a code over GF(2) with n=648, k=13 and d=292.
This code was found by Heurico 1.16 in 2.17 seconds.