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

generates a code of length 81 over Z16 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+65x^76+32x^77+288x^78+256x^79+252x^80+448x^81+128x^82+256x^83+62x^84+32x^85+224x^86+2x^88+1x^92+1x^144

The gray image is a code over GF(2) with n=648, k=11 and d=304.
This code was found by Heurico 1.16 in 0.567 seconds.