The generator matrix 1 0 0 1 1 1 1 1 1 1 1 2a+2 1 1 1 1 0 1 1 2a 1 1 2 1 0 1 1 1 1 1 1 1 2a+2 1 1 0 1 1 1 2a 1 1 1 1 1 2a+2 2a 1 1 1 1 1 0 1 1 1 2 1 1 1 1 2 2a 1 2a+2 1 1 1 1 1 1 1 2a 1 1 2a+2 1 1 1 2 1 1 1 0 1 0 0 2 2a+2 1 3a+2 3a+3 1 a 1 2a+3 2a+3 3a+3 a+3 1 a+1 a 1 3a 3a 1 2a 2 2 a+1 3a 3a+3 2a+1 2a a+2 1 a+1 a+2 1 3a 2a+1 2 1 2a+2 2a+2 2a+3 3a+2 2a+1 1 1 1 3a 0 3a+2 2a 1 2a+1 3 3a+1 1 3a+1 3a+1 3a+2 3a+3 1 1 3a+3 1 a 0 a 0 0 3a+2 2a+1 1 3a 2a+3 2 2 a+3 a+2 1 2a 2a+1 2a+2 0 0 1 1 3a+2 3a+3 3 2a+3 2a+1 3a+3 0 2a+1 a+2 2 a+1 a a 2a+2 a 3a+3 a+3 3a+2 a+1 2a+2 1 a+3 2a+1 3a+3 a+2 2a+2 3a 2 a+2 2a+3 1 2a+2 3a 0 2 a+1 a+2 2a+3 1 2a+1 a+1 2 1 2a+3 3a+1 3a+3 0 3 3 a 3a 3a+1 2a+1 3a+2 0 3a a+1 1 a+3 3 a 3a+3 a+3 1 a+2 3a+3 2a+3 3a+1 2a 2 2a+1 1 2 3a+2 a+1 3a+1 0 3a+2 3 0 0 0 2a+2 0 0 2a+2 2a+2 2a+2 2 2a 2 0 2a 2 0 2a 0 2a+2 2a 0 2a 2 2a+2 2a+2 2a 2a 2a+2 2a 2 2a 2a+2 0 2 2a 2 2 2a+2 2 0 2a+2 2a 2 2 0 2a+2 0 0 2a 2 0 2 2a+2 2a 2 0 2a 2 2a 0 2a+2 2a+2 2 2a 2 2 2a+2 0 2 0 2a 2a+2 2a 2a+2 2a+2 2a 2a 0 2a 0 2a+2 0 2a+2 generates a code of length 83 over GR(16,4) who´s minimum homogenous weight is 237. Homogenous weight enumerator: w(x)=1x^0+528x^237+720x^238+396x^239+54x^240+1152x^241+1428x^242+384x^243+48x^244+1368x^245+1332x^246+528x^247+48x^248+1332x^249+1224x^250+324x^251+36x^252+984x^253+900x^254+276x^255+24x^256+732x^257+552x^258+180x^259+21x^260+492x^261+480x^262+180x^263+6x^264+288x^265+204x^266+24x^267+9x^268+36x^269+72x^270+12x^271+3x^272+3x^276+3x^284 The gray image is a code over GF(4) with n=332, k=7 and d=237. This code was found by Heurico 1.16 in 45.5 seconds.