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

generates a code of length 72 over Z16 who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+60x^63+149x^64+304x^65+388x^66+700x^67+620x^68+1338x^69+1526x^70+2246x^71+1968x^72+2196x^73+1374x^74+1376x^75+654x^76+676x^77+234x^78+188x^79+168x^80+74x^81+54x^82+28x^83+12x^84+16x^85+8x^86+10x^87+9x^88+2x^89+2x^92+2x^93+1x^104

The gray image is a code over GF(2) with n=576, k=14 and d=252.
This code was found by Heurico 1.16 in 6.99 seconds.