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 1 0 2a+2 1 2a 1 1 1 1 0 2a+2 1 1 1 1 1 1 1 2 2a 1 1 1 2a+2 1 1 1 1 1 1 2a 1 1 1 1 1 2 0 1 1 2a 1 1 1 1 2a+2 1 1 1 1 2a 1 1 1 1 1 1 1 1 2 2a+2 2a+2 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+2 3a+2 1 2a+1 0 1 1 a+2 2a+2 a 3 a+1 2a 1 1 3a+3 a+2 2 a+3 3a+1 2 3 1 1 2a+3 3a+2 a 1 3a+2 3a+1 2 3a+3 a+3 a+3 1 0 3a+3 3 a+3 2a 1 1 0 a+2 2 2a+2 1 3a 0 1 2a+1 2a+2 a+3 2a 1 2a 2a 2 3a+3 a+1 1 3 0 2 1 1 a 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 2a+1 3 a+2 3 3a+2 2a+1 2a+2 2a 1 3a 2a a+2 a+3 a+2 a+3 2a 3a+3 2 3a+1 1 3a+1 a+3 2a+1 2a+2 2 a+1 3 a+3 2a 1 2a+1 2a+2 2a+3 a+3 1 2 2a+2 3 3a+1 a+3 2a+1 0 a+2 3a+1 1 0 a+3 2 2 0 3a+1 a 3a+2 a 3a+3 3a+1 2a 1 3a+1 3a+1 3 2a+2 0 1 a+1 2 a 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 2a 0 2a+2 2a 2 2a 0 2 2a+2 0 2a 0 0 2a 0 0 2a+2 2 2a+2 0 2a+2 2a 2 2a 2 2 0 2a 2a+2 2a+2 2 2a+2 2a 0 2 2 0 2a+2 2a 0 2a+2 2 2a 0 2 2a 2 2 0 2a+2 0 0 2a+2 2a+2 2a+2 2a 2a 2a+2 0 2a+2 2a 2a+2 2a 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 2a 0 0 0 2 2a 2 2a 2 2a+2 2a+2 2a+2 2a 2a+2 2a 2a 2a 0 2a 2 2 2 2a 0 2a+2 2a+2 2a 2a+2 2a+2 2a 2a 2a+2 2 0 2 2a 2 2a 0 2 2a+2 2 2a+2 0 0 2 2 2a+2 2 2a+2 2 2a 2a+2 2a+2 0 2a+2 2a 2a+2 2a+2 2a+2 2 0 0 2 0 2a+2 2 generates a code of length 88 over GR(16,4) who´s minimum homogenous weight is 245. Homogenous weight enumerator: w(x)=1x^0+132x^245+252x^246+156x^247+306x^248+1440x^249+1272x^250+588x^251+717x^252+2568x^253+2184x^254+984x^255+813x^256+3840x^257+2892x^258+1476x^259+1194x^260+4788x^261+4032x^262+1860x^263+1149x^264+4560x^265+3912x^266+1716x^267+1296x^268+4512x^269+3396x^270+1344x^271+840x^272+3312x^273+2316x^274+684x^275+540x^276+1584x^277+1068x^278+360x^279+168x^280+768x^281+168x^282+48x^283+54x^284+144x^285+12x^286+21x^288+30x^292+15x^296+6x^300+6x^304+6x^312+3x^316+3x^320 The gray image is a code over GF(4) with n=352, k=8 and d=245. This code was found by Heurico 1.16 in 27.1 seconds.