The generator matrix 1 0 0 0 1 1 1 2 1 1 1 2 1 0 X+2 1 1 X+2 1 1 X+2 2 X+2 1 0 1 1 X+2 X+2 1 1 1 1 2 1 2 1 X 0 1 1 1 1 X+2 2 0 1 X+2 0 1 1 X+2 0 X+2 1 X+2 2 0 X 1 1 X X+2 2 2 1 1 1 2 1 1 1 0 1 0 X 0 X+2 1 0 X 0 X+2 1 1 1 1 X+2 0 1 X 1 1 1 0 X X+2 1 0 1 0 0 X X X+2 0 1 3 3 1 X+3 1 1 0 2 X+2 2 X+2 1 1 1 1 X+2 1 X+3 2 1 X+2 X+1 1 2 2 X+1 1 X 0 1 X+2 0 3 X+3 X+2 1 1 1 1 X 3 1 0 1 0 X+2 1 1 X 1 X X+2 1 1 0 X+2 3 X+1 0 1 X+3 1 2 1 0 1 X X 1 3 2 2 1 1 3 3 2 X+3 1 1 0 1 X+1 3 3 1 0 0 X 0 0 1 0 X X+3 X+3 1 X+1 X+2 2 1 X+1 3 X X+2 X+1 1 X+3 0 X+1 X+2 X+3 2 X 3 2 1 0 X X+2 X+2 X X 1 0 3 1 X+1 1 X+2 X+1 X+2 1 X 1 X+1 0 1 2 1 1 1 X+2 0 1 0 1 2 X 2 X+3 1 1 1 X+2 X X X+3 1 1 0 0 X+2 X 1 1 X X 2 1 X+3 X+2 X+1 X+2 1 X X+2 X+1 1 X+3 1 X+1 3 X+1 X 1 0 0 0 0 1 X+1 X+3 X 3 X X+2 3 1 X+3 X 1 2 X+1 X+3 X+2 X+3 X+3 2 0 X+1 1 X+2 X+2 0 1 2 1 0 1 1 X+1 X+2 X+2 1 2 1 X+1 2 X+2 0 X+1 X X+1 2 X+1 3 X+2 X 2 1 X+2 3 2 1 X+3 0 0 X+1 X+1 3 X+3 X+3 X+3 2 3 2 X+3 X 3 X+1 X 2 3 2 X+1 1 1 X+2 X+3 X+1 X+2 0 0 1 X+3 X+1 X X+2 2 1 0 1 0 1 0 0 0 0 2 2 2 0 2 2 2 0 2 0 0 2 2 0 2 2 0 0 0 2 0 2 2 0 0 2 2 2 2 0 2 0 0 2 2 0 0 0 0 2 2 2 0 2 2 0 0 2 0 2 0 2 2 2 0 0 0 2 0 2 0 0 0 0 2 0 0 0 2 2 0 0 0 2 2 2 0 2 2 2 0 0 2 2 0 0 2 0 2 0 0 0 2 0 generates a code of length 98 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 90. Homogenous weight enumerator: w(x)=1x^0+131x^90+384x^91+472x^92+536x^93+632x^94+724x^95+686x^96+642x^97+640x^98+548x^99+502x^100+406x^101+325x^102+324x^103+350x^104+240x^105+164x^106+132x^107+110x^108+104x^109+57x^110+32x^111+23x^112+22x^113+1x^114+2x^117+2x^118 The gray image is a code over GF(2) with n=392, k=13 and d=180. This code was found by Heurico 1.13 in 2.33 seconds.