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

generates a code of length 69 over Z16 who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+242x^61+555x^62+904x^63+1180x^64+1936x^65+2458x^66+3552x^67+3762x^68+4284x^69+3442x^70+3544x^71+2118x^72+1830x^73+1150x^74+726x^75+461x^76+264x^77+193x^78+102x^79+29x^80+18x^81+8x^82+2x^83+2x^85+2x^86+2x^87+1x^92

The gray image is a code over GF(2) with n=552, k=15 and d=244.
This code was found by Heurico 1.16 in 77 seconds.