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

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

Homogenous weight enumerator: w(x)=1x^0+131x^60+200x^61+624x^62+704x^63+1447x^64+1720x^65+2406x^66+3472x^67+3619x^68+4360x^69+3672x^70+3280x^71+2523x^72+1704x^73+1202x^74+688x^75+431x^76+208x^77+194x^78+48x^79+80x^80+24x^82+19x^84+6x^86+5x^88

The gray image is a code over GF(2) with n=552, k=15 and d=240.
This code was found by Heurico 1.16 in 21.7 seconds.