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

generates a code of length 81 over Z16 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+70x^70+120x^71+246x^72+340x^73+464x^74+754x^75+1205x^76+1616x^77+2333x^78+3328x^79+4072x^80+4214x^81+3480x^82+3224x^83+2699x^84+1690x^85+1067x^86+624x^87+379x^88+248x^89+219x^90+114x^91+84x^92+68x^93+36x^94+24x^95+18x^96+14x^97+9x^98+4x^99+2x^101+1x^102+1x^118

The gray image is a code over GF(2) with n=648, k=15 and d=280.
This code was found by Heurico 1.16 in 29.8 seconds.