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  1  1  1  2  1  1  1  1  1  4  1  1  2  1  1  2  1  2  1  1
 0 12  0  4  0  0  4  4  8  8  4 12  0  8  4  4  0  8 12  4  0  8 12  4  8  4 12  0  0 12  4  0  0 12  8 12 12 12 12  8  0  0 12  8  8 12  4 12 12  8  4  0 12 12  0 12  4  4 12 12  4  4  8  8  8  8  0  8  8 12
 0  0 12  4  0 12 12  0  8  4  4  0  8  4 12  0  0  4  0  4  4  8  4  0  4 12  0  4  0 12  0  8  0  8  0  8 12  4  8  8  4  8  8 12 12 12  4  4  4  4 12  4 12  8  4  8  8 12 12  0  0 12  4  8  0  4  0  4  0  4
 0  0  0  8  0  0  8  0  0  8  0  8  8  8  0  8  0  0  0  8  8  8  0  8  8  0  0  0  8  8  8  8  8  8  0  0  0  8  8  0  8  8  0  0  0  8  0  0  8  0  0  0  0  8  8  0  0  8  0  0  8  8  8  8  8  0  0  8  8  0
 0  0  0  0  8  0  0  0  0  0  0  0  8  0  0  0  8  8  8  8  8  0  8  8  8  8  8  8  8  8  8  0  8  0  0  8  8  0  8  8  0  0  0  0  8  8  0  0  8  0  8  0  8  0  8  0  0  8  0  0  0  0  0  8  8  8  0  8  0  0
 0  0  0  0  0  8  8  8  8  8  0  8  0  0  8  0  8  8  8  0  0  0  8  0  8  0  0  0  8  8  8  8  0  0  0  0  0  0  0  0  8  0  0  8  8  0  8  0  8  0  8  0  8  8  8  8  8  8  8  8  8  0  0  8  8  8  8  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+67x^64+38x^65+36x^66+56x^67+99x^68+428x^69+623x^70+424x^71+103x^72+40x^73+37x^74+24x^75+41x^76+4x^77+5x^78+8x^79+9x^80+2x^81+2x^82+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 0.384 seconds.