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  1  1  1  1  1  2  1  1  1  1  2  1  2  2  1  2  2
 0  8  0  0  0  0  0  0  0  0  0  0  0  8  8  8  0  0  0  0  8  8  8  8  0  0  0  8  8  0  8  0  8  8  0  8  8  0  8  0  8  8  0  8  0  8  0  8  8  0  0  8  8  8  0  0  0  0  0  0  8  8  8  0  8  0  0  8  8  8
 0  0  8  0  0  0  0  0  0  0  0  0  8  8  8  0  0  0  8  8  8  8  0  0  0  8  0  8  0  8  8  8  0  0  8  8  8  0  0  8  8  0  0  8  8  0  8  8  0  0  0  0  0  8  8  8  0  8  0  8  0  8  0  8  8  0  0  8  8  0
 0  0  0  8  0  0  0  0  0  0  0  0  8  0  8  8  0  8  8  0  0  8  0  8  0  0  8  8  0  8  0  0  8  8  8  0  8  8  0  8  8  8  8  0  0  8  8  8  0  8  0  8  0  0  0  0  8  8  8  0  0  8  0  0  8  0  8  8  0  0
 0  0  0  0  8  0  0  0  0  0  0  0  8  8  0  8  8  0  8  0  8  0  0  8  8  0  8  8  8  0  0  8  0  8  0  0  0  8  8  0  8  0  0  8  8  0  8  8  0  8  8  0  8  0  0  8  8  8  0  8  8  8  8  8  8  8  0  0  8  8
 0  0  0  0  0  8  0  0  0  8  8  8  0  0  0  0  8  8  8  8  0  0  0  8  8  0  0  0  8  8  0  0  8  0  8  0  8  8  0  0  8  8  0  8  0  0  0  8  0  8  0  8  8  0  8  8  0  8  0  0  8  8  0  8  0  0  8  0  8  8
 0  0  0  0  0  0  8  0  8  8  8  0  0  0  0  0  0  0  8  8  8  8  0  0  8  0  0  8  8  0  0  8  0  8  8  0  8  0  8  0  8  8  8  0  0  8  8  8  8  8  0  0  0  8  0  8  0  0  8  8  0  0  8  8  0  0  0  0  8  8
 0  0  0  0  0  0  0  8  8  0  8  8  0  0  0  0  0  8  8  0  0  8  8  0  8  8  0  0  8  0  8  8  8  0  0  0  0  8  8  0  0  8  8  8  8  0  8  8  0  8  8  0  0  0  0  0  8  0  8  0  8  8  0  0  0  8  0  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+121x^64+120x^68+1536x^70+211x^72+8x^76+49x^80+1x^88+1x^128

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 0.87 seconds.