The generator matrix 1 0 1 1 1 1 1 1 1 0 1 1 1 1 0 1 1 1 1 2 1 1 1 1 2 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2a+2 1 1 1 1 1 2a 1 1 0 2 2a 2 2a 2a 0 2a 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 a a+1 0 2a+3 a a+1 1 0 a 2a+3 a+1 1 2 2a+3 a+2 a+3 1 2 1 a+2 a+3 1 2 2a+1 1 0 3a+2 a+3 2a+3 a+2 2 2a 3 a+2 2a+1 3a+2 2a+1 a 2 1 3a+2 2a 2a+1 1 1 a 2a+1 a+1 3a+2 1 a+2 3a 2a+3 3a+2 a+3 1 a+1 3a+1 1 1 1 1 1 1 1 1 2 a+1 3a+1 0 0 2a 2a 2a 2a+2 a+3 a+3 3a+1 3a+3 3a+1 3a+1 0 2a 2a a+3 3a+1 3a+1 2 0 0 2a+2 0 2 0 2 2a 2a 2a 2a 2 2a+2 2a+2 0 2a+2 0 2a+2 0 2 2 2a 2a 2 2a+2 2a 2 2a 2a+2 2 0 2 2 2a+2 0 2a+2 2a 2a+2 0 2a 2a 2a 0 2a+2 2 2 2a 0 0 2a 2a+2 0 2a+2 2a+2 2 0 2a+2 2a 2 2 0 2a 2a 0 2 0 2a+2 2a+2 2 2 2a 2a+2 0 2a 2 2a+2 0 2a+2 2a+2 2 2a 2a+2 0 2a 2 2a+2 0 2a 2 2 2 0 0 0 2 2a 2a 0 2a 2 2 0 2 2a 2 2 0 0 2 2 2 0 0 2 2 2 2a 2a 0 2a 2a 2a 2 2a+2 2a+2 2a+2 2 2a+2 2a+2 2a+2 2 0 2a+2 2 2a+2 2a+2 2a+2 2a+2 2a+2 2a 2a 2a 0 0 0 0 2a 2a 2a 0 0 0 2a+2 2a 2a+2 2a 2a 2a 2a+2 2a+2 2a 0 0 2 2 2 2 0 0 2a+2 2a+2 2a 2a 2a+2 2a+2 2 2a 2 2a+2 2a+2 2 2a generates a code of length 91 over GR(16,4) who´s minimum homogenous weight is 266. Homogenous weight enumerator: w(x)=1x^0+240x^266+432x^267+90x^268+1728x^269+192x^270+45x^272+156x^274+156x^275+78x^276+18x^280+120x^282+120x^283+15x^284+576x^285+60x^290+60x^291+9x^300 The gray image is a code over GF(4) with n=364, k=6 and d=266. This code was found by Heurico 1.16 in 20.7 seconds.