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

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

Homogenous weight enumerator: w(x)=1x^0+336x^63+617x^64+1140x^65+1650x^66+2816x^67+3465x^68+5188x^69+5566x^70+8570x^71+7189x^72+8204x^73+5736x^74+5640x^75+3233x^76+2410x^77+1493x^78+1034x^79+547x^80+400x^81+134x^82+68x^83+50x^84+30x^85+12x^86+2x^88+4x^89+1x^94

The gray image is a code over GF(2) with n=576, k=16 and d=252.
This code was found by Heurico 1.16 in 86 seconds.