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

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

Homogenous weight enumerator: w(x)=1x^0+1140x^199+501x^200+2244x^203+870x^204+2640x^207+924x^208+2208x^211+630x^212+1752x^215+462x^216+1368x^219+501x^220+756x^223+141x^224+180x^227+60x^228+3x^236+3x^248

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 624 seconds.