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  2  2  2  1  2  4  2  2  2  1  1  4  1  2  1  1  0  2  1  0  1  2  1  1  0  1  1  4  0  1  4  0  4  1  1  1
 0 12  0  0  0  0  0  0  0 12  4 12 12  4  8  8  8 12 12 12  4  8 12  4  4 12  0 12 12  4 12  0 12  8  4 12  0 12  8  0  0  4  0 12  0  8  4  4 12  8  4  4 12  8  0 12  4  0  8  0  4 12  4  8  0  4  4 12  4 12  0
 0  0 12  0  0  0  4 12  4  4  4  8  0  8  4  4  8 12 12  0  8  4  0  0 12  8  4  4 12  0  4 12  8  0 12  4  4  0  8  4  4  8  0  8 12  0  8  0  8  0  0  8  4  0  4  8  0  0  8  4 12  8  8  4  8 12  0 12 12  4  0
 0  0  0 12  0  4  4  4  8  4  0 12  4  8 12  0  8  4  8  4  0  0  4 12  0  8  0  4  0  8  4  4 12  4 12  0  8  8  4  8  4 12 12  0  0  4  8  8  4  0  0  4  8 12  8  8  0  4  0  0 12  8  8 12  0  8  8 12  4  4  0
 0  0  0  0 12  4  0  4  4  8  0  8 12  4  8  0  4  4  0  8  8 12  4  4 12 12  8  4 12  0  4  0  8  8  0 12  4  0  4 12  0  0  8  8  4 12  4  4  4  4  0 12  0  8  8 12  0  0  4  8  0  0 12  4  8  0  0  0  4  0  0
 0  0  0  0  0  8  0  0  8  0  8  8  8  0  8  8  8  8  0  8  0  0  0  8  8  8  0  0  0  8  0  0  0  0  0  0  0  0  0  8  8  8  8  0  0  8  8  0  0  8  8  8  8  8  0  0  8  0  0  0  8  8  0  0  0  0  8  0  8  0  0
 0  0  0  0  0  0  8  0  0  0  0  0  0  8  0  8  8  8  0  8  8  0  8  8  0  0  8  0  8  8  8  0  8  8  8  0  8  8  8  8  0  8  8  0  8  8  8  0  8  0  0  0  0  0  0  8  8  0  8  0  8  8  0  8  8  0  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+72x^61+150x^62+174x^63+281x^64+298x^65+617x^66+494x^67+1828x^68+630x^69+3153x^70+856x^71+3496x^72+586x^73+1646x^74+466x^75+587x^76+270x^77+248x^78+124x^79+108x^80+48x^81+55x^82+56x^83+48x^84+12x^85+16x^86+6x^87+2x^88+4x^89+2x^90+1x^102

The gray image is a code over GF(2) with n=568, k=14 and d=240.
This code was found by Heurico 1.16 in 8.49 seconds.