The generator matrix

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

generates a code of length 81 over Z16 who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+206x^75+280x^76+694x^77+665x^78+1034x^79+718x^80+1120x^81+815x^82+960x^83+578x^84+574x^85+205x^86+224x^87+44x^88+34x^89+4x^90+2x^91+6x^92+4x^93+4x^94+6x^95+4x^96+6x^97+2x^102+1x^106+1x^112

The gray image is a code over GF(2) with n=648, k=13 and d=300.
This code was found by Heurico 1.16 in 2.46 seconds.