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

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

Homogenous weight enumerator: w(x)=1x^0+56x^61+260x^62+340x^63+844x^64+764x^65+1554x^66+1380x^67+2268x^68+1718x^69+2292x^70+1326x^71+1492x^72+650x^73+654x^74+260x^75+224x^76+98x^77+89x^78+44x^79+27x^80+10x^81+12x^82+8x^83+8x^84+2x^86+2x^87+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 5.83 seconds.