The generator matrix

 1  0  0  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1  1  2 2a+2  1  0  1  1 2a 2a+2  1  1  1  1  1  1  1  1  1  1 2a+2  1  2  1  2  0 2a  1  1  1 2a  2  1  1  1  1  2  1  1  1  1  1  1  1  1 2a  1  1  1  1  1  1 2a
 0  1  0  0  2 2a+2  1 3a+2 3a+3  1  a 2a+3 2a+3 a+3  a  1 3a+2 a+1 a+1  1  1 3a+2 2a+2 2a+1 2a+3  1  1  2  a 2a a+2 3a+1  0 3a+1 3a+3  2  1  1 a+3  1 2a+3  1  1  2 2a+2 3a+2  2  1  0  3 3a+3 2a 3a+1  1  1 2a+2 a+1 2a+3  a 3a+2 3a  0  0  1 3a+2  a  3 a+1 a+1  1
 0  0  1  1 3a+2 3a+3  3 2a+3 2a+1 3a+3  0 2a  a 2a a+2 3a+1 3a+1  a a+1 3a+2  1 a+1  1 3a+1  2 3a+2 a+1  a  0 2a+3 2a+3 3a+1 3a+3 2a+1  2  1 3a 2a+2 3a  0  3 3a+2 3a  1 3a+3 3a+2 a+1 2a+1  1 2a 2a 2a+2 a+3  2  a  2 2a+1  a 3a+2 2a+3 2a  1  1 a+1 a+3  1  2 3a+2 3a a+3
 0  0  0 2a+2  0  0 2a+2 2a+2 2a+2  2 2a  2  0 2a  0 2a+2  0 2a  0 2a+2 2a+2 2a 2a+2 2a 2a+2 2a  0 2a+2 2a+2 2a  0  2 2a 2a  2  2 2a 2a 2a+2 2a+2  2  0  2  2 2a 2a+2 2a+2 2a+2 2a  0 2a+2  2 2a+2 2a  2  0  2 2a+2 2a 2a  0  0 2a 2a+2  0  2  2  0  2  0

generates a code of length 70 over GR(16,4) who´s minimum homogenous weight is 199.

Homogenous weight enumerator: w(x)=1x^0+1068x^199+552x^200+2328x^203+855x^204+2580x^207+900x^208+2184x^211+627x^212+1980x^215+471x^216+1200x^219+372x^220+804x^223+243x^224+144x^227+63x^228+3x^232+3x^236+6x^240

The gray image is a code over GF(4) with n=280, k=7 and d=199.
This code was found by Heurico 1.16 in 7.55 seconds.