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

generates a code of length 70 over Z16 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+28x^64+52x^65+65x^66+86x^67+100x^68+396x^69+657x^70+384x^71+107x^72+52x^73+22x^74+32x^75+14x^76+4x^77+21x^78+8x^79+6x^80+8x^81+2x^82+2x^83+1x^130

The gray image is a code over GF(2) with n=560, k=11 and d=256.
This code was found by Heurico 1.16 in 0.381 seconds.