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  2  0  2  1  1  1  1  1  1  1  2  1  1  8  8  1  2  4  1  8  1  2  1  0  2  1  1  1  1  8  1  4  0 12  0  2  2  1  1  4  2  2  4  1  1  1  1
 0  2  0  6  0  6  4  2  4 14  2 12  0  6  6 12 10  2  8  4  0  2  4  6 14  2  6 12 14  0  2  8 14  6  2  8  2  2  2 12 14  2  6  2  0  6 14  2  0 10  8 12  4  2 12  0  2  2  2  2  8  8  6  0 14  2  2  8  6  4  0
 0  0 12  0  0  0  4  0  0  0  8  8  4 12  4  4  4  4  0  8  4 12 12 12  0  4  4  8 12  4  8  8  0  4  8 12 12  0  4  8  4  0 12 12  0  0  0  8 12 12  0  0  4  8  8  8  4  8  4  0 12 12  8  8  8  0  0  0 12  4  8
 0  0  0 12  0  0  0  4  0  8  0  8  8  8  0  0  8  8  4  4 12 12  4 12  0  0  4 12 12  4  4  4  4  4  8  4  4 12 12 12  8  4  8  4  4  0  4  4  0  4  8  4 12  8  0  4  8  4 12 12  0 12  0  8  0 12 12  0 12  8  8
 0  0  0  0 12  0  0  8  4 12 12  8  4  4  8  4 12  0  8  8  8  0  0  0  4 12  0  4 12 12 12  4  4  4  4 12 12  0 12 12  8  8  0  4  0  0 12  8 12  0  4  4 12 12 12  8 12 12  4  0  8  8  0 12  4  8  4  4  8  8  0
 0  0  0  0  0  8  0  8  8  0  8  8  8  8  0  8  8  0  8  0  0  8  0  8  0  8  8  8  8  0  8  0  0  8  0  8  0  0  8  8  8  8  8  0  8  8  8  0  8  0  0  0  0  8  0  8  0  0  0  8  0  0  0  8  0  0  8  8  0  0  0
 0  0  0  0  0  0  8  0  0  0  0  0  8  8  8  0  0  0  8  8  0  0  8  8  8  8  8  0  8  0  8  0  8  0  8  0  8  0  0  8  0  8  8  8  0  8  8  0  0  0  8  8  0  0  0  8  8  0  8  0  8  8  0  8  8  8  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+33x^60+96x^61+174x^62+280x^63+519x^64+748x^65+1165x^66+1500x^67+2991x^68+2160x^69+5351x^70+2788x^71+5404x^72+2196x^73+3067x^74+1432x^75+1106x^76+684x^77+356x^78+224x^79+215x^80+112x^81+55x^82+44x^83+29x^84+20x^85+7x^86+4x^87+4x^88+1x^90+1x^92+1x^96

The gray image is a code over GF(2) with n=568, k=15 and d=240.
This code was found by Heurico 1.16 in 24.9 seconds.