The generator matrix 1 0 0 0 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 2a 1 1 2a 1 1 2 1 1 2 1 1 1 1 0 1 1 0 1 2 2a 1 1 1 1 1 2a 1 1 0 1 2a+2 1 1 1 1 0 1 1 1 0 1 1 1 1 2a 1 1 1 1 1 0 2a+2 1 1 1 1 1 1 1 1 1 2a+2 1 0 1 0 0 0 2 2 2a+3 2a+1 1 3a 3a+3 a+2 a+3 1 3a 3a+2 1 0 2a+2 2a+3 3a+1 1 3a+3 2a+1 1 a a+2 1 3a 3a+3 2a+2 3a+3 1 3a+1 3a+2 1 a+1 2a 1 3a a 3a+2 3 3a+3 1 2a+3 0 1 2 1 3a+2 a+1 2a 0 2a 1 2a+2 a 0 2a 2a+2 a+2 1 1 2a+2 a+3 3 2a+2 1 2 1 3a+1 2a+1 2 a+3 a 1 2a+2 3a+1 a+2 0 3a+3 0 0 1 0 1 3a+2 a+1 a 2a+2 3a+2 2a+3 3a+1 a 3a+2 a+1 3 a 0 2a+3 1 1 a+3 a a+2 a+2 3a+3 2 a+1 3a a+1 2a+3 3a+3 a+3 2a+3 a 0 a+3 1 1 3 3a+2 2a+3 3a 1 2 2a+1 a 2a 2a 3a+3 2a+1 2 3a+2 2a 3a 1 a+3 3a 2a+1 1 3a+2 1 1 3 3a+3 2a+2 2 3 2a a 2a 3a 3a+3 a+1 a+2 3a 3 2a+2 3a+1 3a 3a+3 1 2a+1 0 0 0 1 3a+3 a 1 2 a+2 a+2 0 2 3a+1 2a+3 3a+2 1 2a 2a 2a 1 2a+3 3a+2 a+3 2 3a+3 a 3a+3 3a+1 2a+1 2a a+1 3a+1 2a+3 3a+1 3a+2 2a+3 3 a 3a+2 2a+1 3a 2a 1 2a+2 a+3 a a+2 3a 3a+1 a+2 3 3a+2 3a+3 2a+2 a+1 3a 3a+1 3 a 3a+1 a+1 3a 1 3a a+3 a+1 3a+1 a a+2 3 1 2a+2 3a+2 3a 2 3a+3 a+1 a 1 2a+1 3a 3a+1 3 0 0 0 0 2 0 2a 0 0 0 2 2a 2 2a 2a+2 2 2a+2 2a 2a 2a+2 0 2 2 2 2a 2 2 2a+2 2a+2 2 2a+2 2a+2 2 0 0 0 0 2 2a 0 2a 0 2a+2 2a+2 2a 2a 2 2a 2 0 2a 2a+2 2a 2a+2 2a 0 2 0 2a+2 2a+2 2a+2 0 2a 0 2a 2a 0 2 2 0 2a 2 0 2a+2 2a 2a+2 2a 2a+2 2 0 2a 0 0 generates a code of length 83 over GR(16,4) who´s minimum homogenous weight is 228. Homogenous weight enumerator: w(x)=1x^0+528x^228+696x^229+732x^230+852x^231+2652x^232+2520x^233+2376x^234+2628x^235+5565x^236+5580x^237+3972x^238+3720x^239+9231x^240+8976x^241+6012x^242+5232x^243+12741x^244+13128x^245+8424x^246+7956x^247+17373x^248+15132x^249+9108x^250+8520x^251+16446x^252+15612x^253+8640x^254+7740x^255+14079x^256+11112x^257+6228x^258+4368x^259+7902x^260+5112x^261+2556x^262+1608x^263+2853x^264+1812x^265+1044x^266+372x^267+603x^268+192x^269+60x^270+12x^271+81x^272+18x^276+12x^280+6x^284+6x^288+9x^292+6x^300 The gray image is a code over GF(4) with n=332, k=9 and d=228. This code was found by Heurico 1.16 in 315 seconds.