The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 1 1 2a+2 1 2a+2 1 1 1 0 1 1 1 1 1 1 0 1 2 2a+2 1 1 1 1 1 1 1 2 1 1 0 1 1 1 1 1 2 2 2a 1 1 1 2a 2a+2 1 1 1 1 2a 1 1 1 1 1 2a+2 1 1 1 1 0 1 0 0 0 2a+2 1 3a+2 3a+3 2a+3 2a+3 a 3a+2 3a+3 1 a+1 1 1 a+1 a 1 2a 3a+3 a+2 2a+2 a 0 2a+2 2a+1 1 1 3a+3 3 a 3a a+3 3a+1 1 1 2a+2 2a+3 1 2 3a+1 2a+2 3a a 1 1 1 3a 3a 2a+1 1 1 3a+1 3 3a a+1 1 2a+2 3 a 3a+3 2a 1 3a+2 2a 1 0 0 0 1 1 a 3a+3 1 3 1 a 0 2 3a+3 a+3 3a+3 3a 3 3a+3 0 a+2 a 3a+1 a+3 2a+2 2 a+2 3a+2 1 2a+2 2a+1 3a+1 a+2 a+1 2a+1 2 2a+2 3 0 0 2a+3 3a a a+3 2a 2a+3 3a+3 a+1 3 2a 3a a+3 3a 3a+3 3a+2 2a+1 2a 2a+2 3a+2 2a+1 2 3a+2 a 2a+3 2a+3 3a+2 a+1 3a+1 2a+2 a+3 2 0 0 0 2a+2 0 0 0 2 2 2 2a+2 2a 2a+2 2a 2a+2 2a 2a 2 2a+2 2a 2 2 2a 2 2a+2 2a+2 2 2 2a 0 0 0 2a 0 2a 2 2a+2 2a 2a 2a+2 2a+2 2a 2a+2 2a+2 2 2a 0 2a 0 2a 2 2 2a+2 0 2a 2 0 2 2a 2 2a 2a+2 2 2a+2 0 2 0 2 0 2 0 0 0 0 2 2a+2 2a 2 2a+2 2a 2a 2 2 2a 2a 0 2 2a+2 2 2a 0 2 2a+2 2a 2a+2 0 2a 2a 0 2a+2 2 2a 0 0 0 2 0 2 2a 2 2a+2 2a 0 2a+2 2 2 2a 0 2 0 2a 2 0 2a 2a+2 2a 0 2a+2 2a 2a 2a+2 0 2a+2 2a 2a+2 2a 2a+2 0 2 2a generates a code of length 70 over GR(16,4) who´s minimum homogenous weight is 192. Homogenous weight enumerator: w(x)=1x^0+129x^192+144x^193+252x^194+600x^195+810x^196+1032x^197+564x^198+1872x^199+2028x^200+1644x^201+1176x^202+2952x^203+2802x^204+2484x^205+1644x^206+4080x^207+3717x^208+2772x^209+1716x^210+4332x^211+4074x^212+3348x^213+1932x^214+3984x^215+3357x^216+2340x^217+1200x^218+2496x^219+1806x^220+1164x^221+564x^222+1104x^223+528x^224+396x^225+168x^226+84x^227+114x^228+36x^229+21x^232+27x^236+15x^240+12x^244+12x^248+3x^252 The gray image is a code over GF(4) with n=280, k=8 and d=192. This code was found by Heurico 1.16 in 20.8 seconds.