The generator matrix 1 0 0 0 1 1 1 1 2 1 X+2 1 2 1 0 1 2 X+2 X 1 1 1 2 0 1 X 1 X+2 1 1 1 1 1 X 1 1 0 1 1 0 X+2 2 2 1 1 1 1 1 0 X 1 2 X 1 X 1 X+2 X 1 1 X+2 1 1 1 X 1 1 2 1 X X 2 1 1 2 0 1 1 X 1 1 1 X+2 1 1 X 1 1 1 1 1 0 1 1 X 0 1 1 0 1 0 0 0 2 1 3 1 2 0 X+1 1 1 1 0 1 1 1 X+1 X 0 X 0 X+3 X+2 X+2 1 X+3 X X+1 X+3 X 1 3 X+1 1 0 3 1 2 1 0 X X+3 X+1 X+2 X+2 1 2 0 1 X+2 0 1 2 1 X+2 X+2 X+3 0 X 2 3 1 X X+3 1 1 1 1 1 X+3 2 1 1 X+3 X+1 X 3 1 X 1 1 X+3 X X+3 X+2 X 3 X+2 X+2 0 1 1 2 1 1 0 0 1 0 0 3 2 1 1 1 1 1 X 0 X+1 X+2 X+3 X+3 2 2 X X+3 X 1 X+3 1 X+1 X+2 3 0 2 1 X+3 1 0 X+2 X+2 2 2 0 1 3 1 3 1 1 3 3 X+2 X X+2 X+3 1 X+1 X+2 2 X+3 0 0 3 1 0 X+1 X+2 X+1 2 2 X+3 2 X+1 X 0 2 X X+2 X X X+2 1 X+1 2 0 X+2 1 X+1 1 3 2 0 0 X+3 1 X+3 X+2 0 X 1 X+1 0 0 0 1 1 1 3 2 1 0 X+1 3 X+3 X+2 X X+1 0 X+3 X X X X+2 1 X+1 3 2 3 1 X+2 X+1 1 X+1 0 0 3 X X+2 X+2 X 1 0 X+3 1 X+3 2 X+1 3 0 0 1 0 2 X+2 2 1 X+3 3 1 X+3 1 3 X+2 X+3 2 2 2 X+2 3 X+3 X+2 0 X+3 X 0 1 1 X+1 X+2 1 X+1 X+1 X X+2 0 X X 2 0 3 2 2 2 X+2 3 X+3 1 3 X+1 0 0 0 0 X 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 2 2 0 2 2 2 0 0 X X+2 X+2 X X+2 X+2 X+2 X X+2 X X X X+2 X X+2 X+2 X+2 X+2 X+2 X+2 X+2 X 0 X+2 X X 0 X+2 X+2 X+2 X X X X+2 X 0 X+2 2 X+2 X X+2 2 2 2 2 X+2 0 0 X 2 X X X+2 2 X+2 X+2 2 0 2 X generates a code of length 98 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 89. Homogenous weight enumerator: w(x)=1x^0+214x^89+467x^90+752x^91+878x^92+1044x^93+1104x^94+1114x^95+1233x^96+1104x^97+1183x^98+1158x^99+1155x^100+994x^101+877x^102+818x^103+583x^104+528x^105+414x^106+264x^107+179x^108+92x^109+75x^110+72x^111+29x^112+22x^113+6x^114+14x^115+4x^116+2x^117+2x^120+2x^122 The gray image is a code over GF(2) with n=392, k=14 and d=178. This code was found by Heurico 1.16 in 22 seconds.