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 0 2 0 1 1 1 1 1 1 1 1 2a 2a+2 1 1 1 1 1 1 1 1 1 1 2a 2a+2 1 1 2a 1 2a 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 2a+2 1 2a+2 1 1 1 0 1 0 0 0 2a+2 1 3a+2 3a+3 2a+3 2a+3 a a+1 3a+2 1 3a+3 1 1 a+1 a 1 2a a+2 2a+2 a 2a+2 1 1 0 3a 1 3 a+1 2a+1 3a+2 2a+3 1 1 a+3 2a+2 a+1 3a+3 0 3a+3 3a+2 3a 2a a+1 1 1 2a+2 2a 0 3a+2 2a+2 3a 2a+3 3a+3 3a 0 a+1 2a+3 2a+2 3a+3 a a+1 0 3 a+1 3a+2 3a+1 1 a 1 3a 2a+2 a+1 0 0 1 1 a 3a+3 1 3 1 a 0 2 3a 3a+3 3a+3 a+3 3 3a+3 0 a+2 a 3a+1 2a+2 2 a+2 1 0 3a+1 3a+2 3a+1 a+3 2a+2 2a 1 2a+3 3a+2 2a+1 2a 2a+3 2a+2 a 2a+3 3a 2a a 2a+1 2a+3 a+2 3a+2 2a+1 3a+3 a+2 1 2a+2 1 2a a+2 3a+1 3a+1 3a+3 3a 2a 3a+2 2a+3 a+3 1 1 1 3a+1 a+1 0 2 0 3a+2 3 a+1 a+1 0 0 0 2a+2 0 0 0 2 2 2 2a+2 2a 2a 2a+2 2a+2 2a 2a 2 2a+2 2a 2 2 2 2a+2 2a+2 2 2a 0 2 2a 2a 0 0 0 0 2 2a+2 2a 2 2a 2 0 2a 2a 0 2a+2 2a+2 2a+2 0 2 2a 2a 0 2a 2 2a+2 0 2a+2 2a 2a+2 0 2 2 0 2 2a+2 2a 2 2a 2 2 2 0 0 0 2 2a+2 0 0 0 0 2 2a+2 2a 2 2a+2 2a 2a 2 0 2 2a 2a 2 2a+2 2 2a 0 2 2a 2a+2 0 2a 0 2 2a 0 2a+2 2a+2 0 2a+2 0 2 2a 2a 2 0 2a+2 2 2a+2 2 2a 0 2 2a+2 0 0 2a 0 2a 2a 2a+2 2 0 2a+2 2 0 2a+2 2a+2 2 2a+2 2a 2a 2a+2 2a+2 2a+2 0 2a 2a 2 2 2 0 2 generates a code of length 77 over GR(16,4) who´s minimum homogenous weight is 213. Homogenous weight enumerator: w(x)=1x^0+120x^213+384x^214+624x^215+363x^216+876x^217+1308x^218+1572x^219+693x^220+1356x^221+2376x^222+2676x^223+894x^224+2376x^225+3372x^226+3588x^227+1158x^228+2832x^229+4020x^230+3960x^231+1668x^232+2832x^233+4248x^234+4200x^235+1161x^236+2760x^237+3456x^238+3012x^239+645x^240+1464x^241+1692x^242+1572x^243+381x^244+600x^245+516x^246+288x^247+99x^248+132x^249+132x^250+12x^251+30x^252+12x^253+27x^256+12x^260+6x^264+9x^268+9x^272+9x^276+3x^284 The gray image is a code over GF(4) with n=308, k=8 and d=213. This code was found by Heurico 1.16 in 45 seconds.