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

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

Homogenous weight enumerator: w(x)=1x^0+60x^59+410x^60+496x^61+1113x^62+1308x^63+2529x^64+3300x^65+4946x^66+6756x^67+7611x^68+8792x^69+7270x^70+6956x^71+4896x^72+3352x^73+2396x^74+1216x^75+1065x^76+424x^77+373x^78+88x^79+115x^80+20x^81+26x^82+9x^84+4x^86+2x^88+1x^92+1x^96

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 75 seconds.