The generator matrix 1 0 0 1 1 1 1 1 1 1 1 2a+2 1 1 1 1 0 2a+2 1 1 1 2a+2 1 1 1 1 1 0 1 1 1 1 1 1 1 1 2a+2 1 2 2 1 1 1 1 1 0 1 2a+2 1 1 1 1 1 1 2 1 2a 1 1 1 1 2a 1 1 1 1 2a+2 1 1 2a 2a+2 1 1 1 1 0 1 1 1 1 0 1 2a 0 1 1 1 1 1 1 0 1 0 0 0 2a+2 1 3a+2 3a+3 2a+3 1 1 a a+1 3a+2 a 1 1 2a+3 a+1 3a+3 1 a+1 a 2a+2 3 2a+2 1 2 a+3 3 a+2 3a+2 a+3 2a+3 2 2a+2 2a+3 1 1 3a 3a+3 1 a+1 3a+2 1 3a+1 1 3a a+3 2a+1 a+1 3 3 1 2a 1 2a a+2 0 2 2 a 0 2a 1 2 3a a+1 1 1 a+1 3a 3 3a+3 1 2a+2 3a+3 a a+2 1 2 1 1 a+3 3a+2 2a 2 2a 2 0 0 1 1 a 3a+3 3a+1 3a+3 3a+1 a 1 3a+3 2a 0 3 a+2 a 2a+1 0 a+2 1 3a+2 2a+2 2a+2 2a+3 3 a+3 a+1 0 2a+3 2 1 3a+3 3a+1 3a+1 3a 1 3a+2 2a+3 1 3a 3a 3a+1 3a+3 2a 2a+2 2 a+3 2a+1 2a+1 1 a 2 3a+3 2a+2 2a+3 3a+2 a 3 a+1 2a+3 1 3a+2 a+2 a+2 a 1 2a 0 3 3a a 2 2a+3 0 2a 3 2a+2 3a+2 a+3 a+1 2a a+2 a+3 2a+2 1 3a 3 a+1 2a+2 0 0 0 2a+2 0 0 0 2 2a 2a 2 2a 0 0 2a 2 2a 2 2 2a 2a 2 2 2 2a 0 0 2 2a 2 0 2 2a+2 2a 2 2 2a 2a+2 0 2 0 2 0 2a+2 2a 2 2 2a 2 2a 2 0 0 2a 2a+2 2a+2 2a 2a+2 2a 2a 0 2 2 2a+2 0 0 2 2a 2a 2a+2 0 2 2a+2 0 2a+2 0 2 0 0 2 2 2a+2 0 2a+2 2a 2a+2 2a+2 2a+2 0 0 0 0 0 0 2 2a+2 2a+2 2a 2 2a 0 0 2a 2 0 2a+2 2a 0 2a+2 2 2a 2 0 2 2a 2 2a 2a 0 0 2a 2a 2 2a+2 0 2 0 2 2a+2 2 2a+2 2a 2 2a 2a 2a+2 2a 2a 2 0 2 0 0 2 2 2 0 0 2a+2 2a+2 0 2a 0 2a+2 2a+2 2a+2 2a+2 0 2a 2a+2 0 0 2a+2 2a 2 2 2a 2a 0 2 2 2a 2 2 2a+2 2 2a 0 2 0 generates a code of length 90 over GR(16,4) who´s minimum homogenous weight is 252. Homogenous weight enumerator: w(x)=1x^0+483x^252+264x^253+204x^254+708x^255+2025x^256+816x^257+588x^258+1152x^259+3831x^260+1392x^261+756x^262+1716x^263+5070x^264+2016x^265+996x^266+2016x^267+6087x^268+2076x^269+1056x^270+2184x^271+6111x^272+2484x^273+1008x^274+1824x^275+5037x^276+1560x^277+900x^278+1620x^279+3693x^280+1080x^281+372x^282+768x^283+1839x^284+468x^285+156x^286+204x^287+477x^288+132x^289+108x^290+96x^291+63x^292+39x^296+21x^300+18x^304+9x^308+6x^312+6x^316 The gray image is a code over GF(4) with n=360, k=8 and d=252. This code was found by Heurico 1.16 in 27.9 seconds.