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

generates a code of length 77 over Z16 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+35x^72+96x^73+50x^74+408x^75+307x^76+440x^77+300x^78+160x^79+28x^80+96x^81+33x^82+72x^83+13x^84+8x^85+1x^146

The gray image is a code over GF(2) with n=616, k=11 and d=288.
This code was found by Heurico 1.16 in 0.57 seconds.