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

generates a code of length 71 over Z16 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+144x^64+24x^65+164x^66+76x^67+267x^68+392x^69+736x^70+572x^71+747x^72+344x^73+244x^74+116x^75+107x^76+8x^77+68x^78+4x^79+28x^80+32x^82+13x^84+4x^86+4x^88+1x^116

The gray image is a code over GF(2) with n=568, k=12 and d=256.
This code was found by Heurico 1.16 in 0.95 seconds.