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 1 2 1 1 1 1 1 0 2 0 0 0 0 2 2 2 2a 0 2 2a+2 2a 2a+2 2a 2 2 2a 0 2a+2 2a 2 2a 0 2 0 2a+2 2a 2 2a+2 2a 0 2a 0 2a 2 2a 2 2a 2 0 0 0 0 2a+2 2a 2a 2a 2 2 2a+2 0 2 2 0 2a+2 0 2a 2 2a+2 2 2 0 0 0 0 2 0 0 2 2a+2 2a 2a 2a 0 0 2a 2a 0 2a 2a+2 2a 2a+2 2a+2 0 2 2a+2 0 2a+2 0 2a 2a 2a 2a 2a+2 0 2a+2 0 2a+2 0 2 2a 2a+2 2a+2 2 2 2a+2 2a+2 0 0 2 2a+2 2a+2 2 0 2 2a 2a+2 2a 2a+2 0 2a 2a+2 2 2a+2 2 2a+2 2a 0 0 0 0 2 0 2a+2 0 2 2a 2a+2 2 2 2 0 2 2a+2 2 2 2a+2 2a+2 2a+2 2a 0 2a+2 2a+2 0 2 2a 0 2a+2 0 2a 2 2a 2 0 2 2a 2a 0 2 2a 2a 2a 2a+2 2a+2 2a 2a+2 0 2a+2 2a 2 2 2a+2 2a+2 2a+2 0 0 0 2a+2 0 2a+2 2 0 2a+2 0 0 0 0 2 2 2 2a+2 2 2 2 2a 0 0 0 2a 2 2a 2a+2 2a+2 2a 0 2a 2 2a 2a 0 0 2a+2 2a+2 2a+2 2a 2 0 0 2 2 2a+2 2a 2 2a+2 2 0 2a 2 0 2a+2 0 2a+2 2a+2 2 2a 2a 2 2a 0 2a 2a+2 0 2 2a 2 2a 2 2a generates a code of length 65 over GR(16,4) who´s minimum homogenous weight is 180. Homogenous weight enumerator: w(x)=1x^0+87x^180+168x^184+180x^188+933x^192+2385x^196+99x^200+72x^204+36x^208+30x^212+42x^216+21x^220+21x^224+6x^228+3x^232+3x^236+6x^240+3x^256 The gray image is a code over GF(4) with n=260, k=6 and d=180. This code was found by Heurico 1.16 in 0.221 seconds.