The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+220x^65+84x^66+344x^67+81x^68+536x^69+172x^70+352x^71+26x^72+204x^73+16x^74+8x^75+1x^76+1x^80+1x^92+1x^100

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 0.261 seconds.