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

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

Homogenous weight enumerator: w(x)=1x^0+38x^61+260x^62+352x^63+832x^64+932x^65+1271x^66+1588x^67+2076x^68+1988x^69+2005x^70+1600x^71+1274x^72+764x^73+569x^74+258x^75+304x^76+104x^77+74x^78+32x^79+21x^80+6x^81+12x^82+8x^83+4x^84+6x^85+2x^89+2x^91+1x^94

The gray image is a code over GF(2) with n=552, k=14 and d=244.
This code was found by Heurico 1.16 in 5.69 seconds.