The generator matrix 1 0 0 0 1 1 1 1 1 2 1 1 1 1 1 1 2 1 1 0 1 2a+2 1 1 1 1 2a+2 2 1 1 1 1 1 1 1 2a 1 1 1 0 1 1 0 1 1 1 1 2a 2 1 1 1 0 1 1 2a+2 1 0 1 1 2a 1 1 0 1 1 1 1 1 1 1 2 1 1 1 2a+2 2 1 1 0 1 0 0 0 2 2 2a+3 2a+1 1 3a 3a+3 a+2 a+3 1 2a 1 1 a+3 1 a+1 1 0 1 a+3 2a+3 1 2a 2a 3 a+1 a+3 3 a a+2 1 3a+2 3 2 1 3a+1 3 1 a 0 a+1 2a+2 1 0 3a+2 a+3 2 1 3 2 1 2a+1 1 3a+2 a+3 1 3 a+3 2a 3 3a 1 a+1 a+1 3a 3a+1 2a 2a+1 a+1 3a 1 1 0 2 0 0 1 0 1 3a+2 a+1 a 2a+2 3a+2 2a+3 3a+1 a 3a+2 a+1 a a 2a 2 3 a+2 0 a+3 1 2a+3 3a+2 a+2 1 1 0 a+3 2 1 a a+2 a+3 2a 3a+3 0 3 a+1 2a 3a+3 a+1 3 a+1 a+3 0 1 3a+1 2a+1 3a+3 3a+2 3a+2 2 3a+3 3a+2 3a+3 1 a 2 1 a+3 1 3a 3 2 3a 0 2a+3 2a 1 2a+1 a+3 0 a 3a+1 3a+2 3a+1 0 0 0 1 3a+3 a 1 2 a+2 a+2 0 2 3a+1 2a+3 3a+2 3a+3 2 2a a+3 a+1 a+2 2a+1 2a+2 0 a+1 2a+3 3a+1 2a+3 2a+1 1 2a+3 0 a 1 a a+2 2a 2a a+3 3a a+3 3a+3 2a 3a+3 2a+1 3a a 3a+1 3a+1 2a+3 2 3a 3a+1 a+3 2a+1 0 a a+2 2a+1 2 a 2a+3 2a+1 3a+2 a+1 a+1 0 2a+3 a 3a+2 3a 3a+3 2a 2a 3 0 2a+3 0 a+1 0 0 0 0 2 0 2a 0 0 0 2 2a 2 2a 2a+2 2a+2 2 2 2 2a+2 2 2 2a+2 0 2a 2 0 2a 0 0 2a+2 2a+2 2a 2a+2 2 2 0 2a 2a+2 0 2a 2 0 2a 2a 0 0 2a 2a+2 0 2 2a+2 2a 2a+2 2 2a 2a+2 2a+2 2a 2a+2 2 2a+2 0 2a 2a 2a+2 2a 2 2 2 2a+2 0 2a 2a 0 2a+2 0 2a 2a generates a code of length 79 over GR(16,4) who´s minimum homogenous weight is 216. Homogenous weight enumerator: w(x)=1x^0+237x^216+528x^217+756x^218+1320x^219+1548x^220+2760x^221+2448x^222+3240x^223+3546x^224+5592x^225+4476x^226+6276x^227+5784x^228+9048x^229+6552x^230+9084x^231+8679x^232+12540x^233+9552x^234+12408x^235+11706x^236+15684x^237+10920x^238+13860x^239+11973x^240+15372x^241+9900x^242+11424x^243+9057x^244+11100x^245+6936x^246+6852x^247+4992x^248+5604x^249+3012x^250+2496x^251+1479x^252+1524x^253+696x^254+564x^255+273x^256+108x^257+48x^258+60x^259+69x^260+12x^261+9x^264+15x^268+15x^272+6x^276+3x^280 The gray image is a code over GF(4) with n=316, k=9 and d=216. This code was found by Heurico 1.16 in 297 seconds.