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

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

Homogenous weight enumerator: w(x)=1x^0+196x^65+63x^66+256x^67+336x^68+424x^69+294x^70+244x^71+61x^72+100x^73+11x^74+40x^75+1x^76+16x^77+4x^79+1x^124

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 51.3 seconds.