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

generates a code of length 69 over Z16 who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+74x^59+307x^60+610x^61+1074x^62+1806x^63+2319x^64+3960x^65+4723x^66+7024x^67+6898x^68+7970x^69+7102x^70+7094x^71+4697x^72+3800x^73+2270x^74+1706x^75+880x^76+578x^77+340x^78+140x^79+93x^80+40x^81+11x^82+10x^83+3x^84+2x^85+2x^88+2x^91

The gray image is a code over GF(2) with n=552, k=16 and d=236.
This code was found by Heurico 1.16 in 76.2 seconds.