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

generates a code of length 69 over Z16 who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+52x^65+275x^66+268x^67+342x^68+372x^69+340x^70+140x^71+1x^72+24x^73+192x^74+40x^75+1x^130

The gray image is a code over GF(2) with n=552, k=11 and d=260.
This code was found by Heurico 1.16 in 0.339 seconds.