The generator matrix 1 0 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 2 1 1 2a 1 1 1 1 1 0 1 1 2a 1 1 1 1 1 1 1 2 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 0 1 1 a 3a+3 0 2a+3 a+1 a 1 0 2a+3 a 1 a+1 2 a+1 a+2 2a+3 1 a+1 a 1 0 3a a+3 2a+3 2a+1 1 2a+2 2a+1 1 a+2 3a+2 a+3 2a+1 0 a 2a 1 a+3 1 1 2a+3 3a a+3 3 2a+2 2a+1 2a+2 a+3 a+2 3 2 a+2 2a+3 2a+2 2a 3a+3 2a+3 3 2a 2 1 1 a+1 2a 2a 3 0 0 2a+2 0 0 0 2 2 2 2 2 2 2a+2 2a+2 2a 2 2a 2a+2 2a+2 0 2a+2 2a+2 2a 2a+2 2a 0 2a 2 2 2a+2 2a 2a+2 0 0 2a 2a 2a 2a+2 2 0 2 2a 2a 2a 2 2a 2a+2 2a 2a 2a 0 2a 2a+2 2 2a+2 2a+2 2 2a 2a 2a+2 2a 2a+2 0 0 2 0 2a+2 2a 0 0 0 0 2 0 2 2a+2 0 2 2a+2 2 0 2a 2a+2 0 2a+2 0 0 2a 2a 2 2 2a+2 2a+2 0 2a 2a 0 2a+2 2 2 2a 2 2a+2 0 2 2 0 0 2 2 2a 2a+2 2a+2 2 2a 0 2 0 2a 2a+2 2 0 2a+2 0 2 2a 2a+2 2a 2a 0 2 2a 2a+2 0 2 2a 2 2a 0 0 0 0 2a+2 2a+2 2 2a+2 2a 0 2a+2 2 2 2a 2 2a 2a 2 2a+2 2a+2 0 2a+2 2a+2 2 0 2a+2 0 2a+2 2a+2 2a 2 2 2a 2a 2a+2 0 2a 2a+2 2a 0 2a+2 2a+2 0 2 0 2 2 2a+2 2a 0 0 2a 2a 2a+2 0 2a+2 2a 0 2a 2a 0 0 2a+2 0 0 2 2 2 2 generates a code of length 69 over GR(16,4) who´s minimum homogenous weight is 192. Homogenous weight enumerator: w(x)=1x^0+273x^192+84x^194+288x^195+831x^196+348x^198+900x^199+972x^200+492x^202+1092x^203+1146x^204+648x^206+1320x^207+1383x^208+924x^210+1512x^211+1146x^212+444x^214+852x^215+930x^216+132x^218+180x^219+279x^220+102x^224+36x^228+24x^232+15x^236+21x^240+3x^244+6x^248 The gray image is a code over GF(4) with n=276, k=7 and d=192. This code was found by Heurico 1.16 in 1.6 seconds.