The generator matrix

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

generates a code of length 70 over GR(16,4) who´s minimum homogenous weight is 194.

Homogenous weight enumerator: w(x)=1x^0+444x^194+444x^195+480x^196+756x^197+1548x^198+1896x^199+1569x^200+1260x^201+2880x^202+3024x^203+1968x^204+1728x^205+3744x^206+3768x^207+2616x^208+2172x^209+3948x^210+3648x^211+2559x^212+1992x^213+4080x^214+3516x^215+2256x^216+1656x^217+3144x^218+2436x^219+1362x^220+852x^221+1344x^222+1044x^223+411x^224+336x^225+336x^226+192x^227+87x^228+36x^230+3x^232

The gray image is a code over GF(4) with n=280, k=8 and d=194.
This code was found by Heurico 1.16 in 20.3 seconds.