The generator matrix

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

generates a code of length 71 over Z16 who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+49x^60+82x^61+181x^62+344x^63+515x^64+1108x^65+1902x^66+3260x^67+4880x^68+7204x^69+8958x^70+8952x^71+8772x^72+6880x^73+4944x^74+3544x^75+1816x^76+990x^77+469x^78+234x^79+148x^80+100x^81+79x^82+42x^83+34x^84+20x^85+7x^86+6x^87+8x^88+3x^90+2x^91+1x^92+1x^94

The gray image is a code over GF(2) with n=568, k=16 and d=240.
This code was found by Heurico 1.16 in 59.6 seconds.