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

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

Homogenous weight enumerator: w(x)=1x^0+207x^60+554x^62+28x^63+828x^64+244x^65+1404x^66+960x^67+2699x^68+2796x^69+4456x^70+4320x^71+4766x^72+2652x^73+2876x^74+1040x^75+1203x^76+180x^77+646x^78+52x^79+427x^80+16x^81+280x^82+97x^84+24x^86+9x^88+2x^92+1x^104

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 31.8 seconds.