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

generates a code of length 76 over Z16 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+3x^72+64x^73+95x^74+200x^75+311x^76+184x^77+95x^78+56x^79+4x^80+8x^81+1x^84+1x^86+1x^130

The gray image is a code over GF(2) with n=608, k=10 and d=288.
This code was found by Heurico 1.16 in 0.381 seconds.