The generator matrix 1 0 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 2 1 1 2a 1 1 1 1 1 1 0 1 2a 1 1 1 1 2a+2 1 1 1 1 2a+2 1 1 1 1 1 2 1 1 2a 1 1 1 1 1 1 1 1 2a+2 2a+2 1 1 1 1 1 1 0 1 1 2 2a 1 1 1 0 2a 0 1 1 2a 1 1 1 1 1 1 1 1 1 1 0 1 1 a 3a+3 0 2a+3 a+1 a 1 0 2a+3 a 1 a+1 2 a+1 a+2 2a+3 1 a+1 a 1 0 a 3a+3 2a+3 3 0 1 2a+3 1 3a 2a a+3 2a+1 1 3a+2 1 2a+1 a+3 1 a+3 2a 3a+3 2a 3a+3 1 2a+3 a+1 1 2 2a a+2 3a+2 a+3 a+1 1 2a 1 1 0 3 3a+2 a+1 a+2 a 1 2a 0 1 1 a+2 3a+2 2 1 1 1 a 1 1 3 2a+3 3a a 1 2a 2a 1 2 0 0 0 2a+2 0 0 0 2 2 2 2 2 2 2a+2 2a+2 2a 2 2a 2a+2 2a+2 0 2a+2 2a+2 2a 2a+2 2a 0 2a 2 2a+2 2 2a 2a+2 0 2a+2 2a 2 2a 2a 0 2a 2 2a+2 2a+2 2a 0 0 2a 0 2 2 2 2 2 0 2a 0 2a 2a+2 2 2a+2 2a+2 2a+2 2a 2a+2 0 0 2a 0 2a 2a+2 2a+2 2 2 0 2 0 0 2a 2a 0 2a 2a 2a 2a+2 2a+2 2a+2 2a+2 2a+2 0 2a+2 0 0 0 0 2 0 2 2a+2 0 2 2a+2 2 0 2a 2a+2 0 2a+2 0 0 2a 2a 2 2 2a+2 2a+2 0 2a 2a 0 2 2a+2 2 2a 2 2 0 0 2a+2 2 2 2 2 2 2a+2 0 0 0 2a+2 2a 2a 2a 0 2a+2 0 2a+2 2a+2 2a+2 2 0 2 2a 2a+2 0 2a 2a 2a 2a+2 2a 2 2a+2 0 2 2 0 2a+2 2a 2a+2 2a 2a 2 2a+2 2a 0 0 2 2a+2 2 2a+2 2a 2 0 2 0 0 0 0 2a+2 2a+2 2 2a+2 2a 0 2a+2 2 2 2a 2 2a 2a 2 2a+2 2a+2 0 2a+2 2a+2 2 0 2a+2 0 2a+2 2a 2a+2 2 2 2a 2 2a+2 2a 0 2a 2 0 2a+2 2a 0 2 2a 2a+2 0 2 2a+2 2a 0 2a+2 0 2 2a 0 0 2a 2 0 0 2 2a 0 0 2a+2 2 2a+2 0 2a+2 2a+2 2a 2 2a 2a+2 2a+2 2a 0 2 2a+2 2a+2 0 2 2a 2 0 0 2a 2a 0 2 generates a code of length 91 over GR(16,4) who´s minimum homogenous weight is 256. Homogenous weight enumerator: w(x)=1x^0+42x^256+48x^257+276x^259+312x^260+636x^261+792x^263+621x^264+912x^265+900x^267+573x^268+1032x^269+996x^271+735x^272+960x^273+1140x^275+750x^276+1032x^277+1152x^279+621x^280+816x^281+636x^283+249x^284+552x^285+228x^287+51x^288+144x^289+24x^291+36x^292+12x^293+24x^296+18x^300+18x^304+18x^308+9x^312+6x^316+3x^320+6x^324+3x^328 The gray image is a code over GF(4) with n=364, k=7 and d=256. This code was found by Heurico 1.16 in 2.17 seconds.