The generator matrix

 1  0  1  1  1  6  1  1 12  1 10  1  1  8  1  1  1 14  4  1  1  2  1  1  1  6  8  1  1  1  1 12  1  1  2  1  1  1  1  1  1  0  2  1  1  1  6  1  1  8  0  1  1  1 14  0  2  1  1  1  1  4 12  1 12  1  0  4 14
 0  1 11  6 13  1  8  7  1  1  1 10  3  1 12  6  5  1  1  4  9  1 14 13  2  1  1  5  4  9 15  1  8  3  1  3  7  0 14  7  2  1  1 12  2 13  1 14  0  1  1 14  3 13  1  2  8  2  8  6  4  1  1 11  1  3  1 12  1
 0  0 12  0  4  0  4  4  8  4  0  0  8  4  8  0  0  4  4  4  8  4  4  4  4  0 12  8 12  8  0  8  4  0 12  4  0  8  4  4 12  8 12  8  4  8  8  8  8 12  4  8  8 12  8 12 12  8  0  4 12  4  4 12  4  8  4  4 12
 0  0  0  8  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  0  8  0  8  0  8  8  8  8  8  0  0  0  8  0  0  8  0  8  0  0  0  0  8  8  8  0  8  0  0  0  8  8  0  0  8  0  0  0
 0  0  0  0  8  0  0  0  8  8  8  0  0  0  8  8  8  8  8  8  0  0  0  0  8  0  0  8  0  0  8  8  0  8  0  8  0  8  0  0  8  8  8  8  8  0  0  8  0  8  8  0  8  8  8  8  8  0  0  0  0  0  0  8  0  8  8  8  8
 0  0  0  0  0  8  0  8  0  8  8  8  8  8  8  0  0  8  0  8  0  0  0  8  0  8  8  8  8  8  8  0  8  0  0  8  0  8  8  0  8  8  0  0  0  0  0  8  0  8  0  8  8  0  0  8  8  8  8  0  8  0  8  0  0  8  8  0  8

generates a code of length 69 over Z16 who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+136x^63+308x^64+458x^65+847x^66+864x^67+1068x^68+1018x^69+1054x^70+790x^71+758x^72+406x^73+222x^74+118x^75+65x^76+30x^77+16x^78+10x^79+5x^80+8x^81+3x^82+2x^83+2x^84+2x^86+1x^92

The gray image is a code over GF(2) with n=552, k=13 and d=252.
This code was found by Heurico 1.16 in 2.74 seconds.