The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+124x^65+264x^66+558x^67+842x^68+1516x^69+1940x^70+1940x^71+2173x^72+1918x^73+1915x^74+1488x^75+787x^76+508x^77+208x^78+86x^79+20x^80+24x^81+19x^82+16x^83+14x^84+4x^86+6x^87+2x^88+6x^89+1x^90+2x^91+1x^98+1x^100

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 77.7 seconds.