The generator matrix 1 0 0 0 1 1 1 1 1 1 1 1 2 1 1 2a+2 1 1 2a 2a 1 1 1 0 1 1 1 1 1 1 1 1 1 0 2a 1 1 1 2a+2 1 1 1 1 1 1 1 2a+2 1 1 1 1 1 1 1 2a 0 2 1 2a+2 1 1 1 1 2 1 1 2a 1 2a 1 1 1 1 1 1 1 1 1 2 1 1 1 2a+2 1 0 1 1 2 1 1 0 1 0 0 2a+2 2a 2a+2 2 2 2 1 1 1 a 2a+1 1 3a a+2 1 1 3a 3a+1 a+1 1 3 3 3a+3 0 2a+3 2 2a+3 2a+2 3a+2 1 2a 3a 3a+2 a+2 2a a+3 3a+3 2a+2 a+2 a+1 1 2a+1 1 a+2 2a+1 2a+3 2a+1 a+3 3a a+3 1 1 1 2a 1 3 3a+2 2a+1 3a+2 1 3a+3 2 1 a 1 2a+1 3a 1 a+2 2a+2 a+1 2a+2 a+2 0 1 3a+3 0 a+1 1 1 1 a+1 3a+1 1 3 2a+2 0 0 1 0 0 2 2 2a+3 a a+1 2a 0 2a 2a 3a+2 a+2 3 a+3 a+1 3a+2 3a 3a+3 a+2 2a+2 3a a+1 2a 1 2a+1 1 3a+1 a+2 a a+3 1 2 a+1 3a+3 1 3a+1 a+2 a+3 3a 2a+3 2a+1 2 3a+1 a+2 a+3 3a+2 1 2 2a 1 2a+3 3a a+3 a 2a+3 3a+1 3a+1 0 2a+2 3 3a a+2 3 3 3a 2a+3 2a+3 a 2a a a 2a+1 2a+2 a+1 3a+2 3a+2 a+2 0 a 2 3a+3 2a+3 2a+3 3a+1 2a+2 1 0 0 0 1 1 3a+2 a+1 3a+3 3a+1 a+3 a+1 3 3a 0 2a a+3 a+3 a+2 2a+3 a 2a+1 a+3 2 2a+3 a+1 2a+2 2a+2 a+2 2a 2a 3a 0 3a+3 3a 1 2a+3 2a+1 3a+1 3a+1 3 3a 3a+2 2 a+3 2a+1 a+2 0 3a+2 3a+1 1 a+1 1 a 0 3a+2 2a+2 3a+1 3a 2a 2a+1 0 2a a+3 1 1 2a+2 3a+1 2a+1 3 3a 2 3a+1 3a+3 3a 3a+3 1 2a+2 2a a+1 a a+3 a+2 2a+1 2a+1 a+2 1 3a+1 a+3 0 3a+3 generates a code of length 90 over GR(16,4) who´s minimum homogenous weight is 253. Homogenous weight enumerator: w(x)=1x^0+336x^253+576x^254+540x^255+588x^256+1944x^257+1992x^258+1692x^259+909x^260+2856x^261+2628x^262+1968x^263+1464x^264+3516x^265+3144x^266+2280x^267+1320x^268+3936x^269+3528x^270+2268x^271+1497x^272+3816x^273+3108x^274+2100x^275+1407x^276+3252x^277+2388x^278+1596x^279+1026x^280+2028x^281+1788x^282+888x^283+390x^284+1032x^285+684x^286+432x^287+96x^288+312x^289+96x^290+48x^291+6x^292+12x^293+36x^294+12x^295 The gray image is a code over GF(4) with n=360, k=8 and d=253. This code was found by Heurico 1.16 in 26.8 seconds.