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

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

Homogenous weight enumerator: w(x)=1x^0+60x^63+128x^64+272x^65+314x^66+716x^67+700x^68+1492x^69+1433x^70+2246x^71+2050x^72+2038x^73+1503x^74+1320x^75+600x^76+670x^77+290x^78+216x^79+75x^80+114x^81+28x^82+44x^83+27x^84+22x^85+13x^86+6x^87+2x^88+3x^90+1x^100

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 7.08 seconds.