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  2  2  1  2  2  1  2  1  1  4  1  2  4  2  4  1  2  2  1  4  2  1  1  1  1  2  2  1
 0 12  0  0  0  0  0  0  0  4 12 12  4  8  8 12  8  0 12 12  4  4  0 12  8  4 12  4 12  0 12  8  8  0 12  8  0  8  8  0 12  8  4 12  0  4  0  0 12  8 12 12  4 12  0  8  4 12 12  4  8  4  4  4 12  8  8  0  4
 0  0 12  0  0  0  4 12 12  4  4  0  8  0 12 12 12  8  8 12  4 12 12  0  0  4 12  8  0  4  8  0  8  0 12  8  0 12  0  8  8  4  4  0  4  8 12  4  0  8  4  8 12  8  8 12  8  4 12 12  8 12  4  8  4  0 12 12 12
 0  0  0 12  0  4  4  4  0  8  0  8 12  0  0 12 12  8  4 12 12  0  4  4 12  0  4  8  8  8  4  4  4  0 12  0  4 12  4  0  0  4  4 12 12  4  0  4  8  4  4  0  8 12 12  8  0  8  4 12  4  0  0  8  0  4  8 12  0
 0  0  0  0 12  4  8  4  4  0  4  4  0  0  8  4 12 12  4  4  8  4  0  8  4  0  8 12  8 12 12  0  0  0  8 12 12  0  4  0  4  4  4  8  0  0  8  8 12  8  0  4  0 12  0  4  8  4  4  4  4 12  8  4 12 12  4  4  0
 0  0  0  0  0  8  8  0  8  8  8  0  8  8  8  8  8  8  0  0  8  0  0  0  0  0  0  8  8  0  8  8  0  8  0  0  0  0  8  0  0  8  8  8  0  8  0  8  0  8  8  8  0  0  8  8  8  0  0  8  0  0  0  0  8  0  0  8  8

generates a code of length 69 over Z16 who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+70x^60+90x^61+140x^62+158x^63+233x^64+208x^65+432x^66+752x^67+1176x^68+1754x^69+1206x^70+710x^71+454x^72+194x^73+179x^74+98x^75+82x^76+76x^77+74x^78+36x^79+28x^80+14x^81+16x^82+6x^83+4x^84+1x^106

The gray image is a code over GF(2) with n=552, k=13 and d=240.
This code was found by Heurico 1.16 in 2.09 seconds.