The generator matrix

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

generates a code of length 72 over Z16 who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+74x^65+268x^66+764x^67+980x^68+1472x^69+1571x^70+2454x^71+1756x^72+2240x^73+1457x^74+1390x^75+725x^76+582x^77+253x^78+172x^79+111x^80+42x^81+27x^82+18x^83+10x^84+6x^85+8x^86+2x^87+1x^92

The gray image is a code over GF(2) with n=576, k=14 and d=260.
This code was found by Heurico 1.16 in 3.98 seconds.