The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+36x^65+298x^66+548x^67+1174x^68+1316x^69+1918x^70+2032x^71+2131x^72+1924x^73+1806x^74+1284x^75+999x^76+364x^77+242x^78+120x^79+65x^80+40x^81+50x^82+16x^83+5x^84+4x^86+7x^88+2x^90+1x^92+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 4.1 seconds.