The generator matrix 1 0 0 1 1 1 X+2 1 X 1 X 1 1 2 X+2 1 1 0 X+2 1 1 X 1 0 1 1 0 1 1 1 0 1 1 X+2 2 1 1 2 0 2 1 X+2 X+2 1 1 1 1 1 X 0 1 2 1 0 X 1 1 1 1 1 X 1 X X 1 0 2 1 2 2 1 1 0 1 1 1 1 1 X+2 1 2 1 1 1 1 1 1 X+2 1 1 1 X+2 1 1 1 1 2 1 0 1 0 0 1 X+1 1 2 0 3 1 0 X+3 1 2 0 1 1 1 X+1 0 1 X+3 1 X+2 1 X X+2 3 3 2 X+2 X 1 1 X+3 3 1 1 2 X+2 1 1 X+1 0 2 X+2 X+2 X+2 X 1 1 X+2 X+2 1 0 1 2 0 1 1 0 1 2 1 1 1 1 1 1 1 X+2 1 3 0 0 3 0 1 X X X X+1 X X 0 3 1 1 1 2 1 1 2 X+1 X+1 1 X+1 0 0 1 1 1 2 3 1 1 3 1 2 2 2 1 X+1 0 3 2 X+1 X X+1 X+2 X+2 X+2 1 1 X+3 X+3 X 1 X 1 X+1 0 X X+3 2 1 1 3 2 X X+1 X 3 0 X+1 1 1 X X+1 X+2 1 X+1 X+1 0 X+2 3 2 1 2 X 1 X+3 2 3 X+1 1 X+2 X+1 3 0 3 X+1 1 2 X+3 2 0 1 1 3 X 3 2 X+2 X+2 0 2 0 1 0 X+2 X 3 3 1 0 0 0 X 0 0 0 2 0 X X+2 X X+2 X+2 X+2 2 X+2 0 X 2 2 X 0 0 X X X X+2 X+2 X+2 X 0 2 0 X+2 X 2 2 2 0 X+2 0 X+2 X X+2 0 0 2 2 X 2 2 X 2 X+2 X+2 2 X 0 X+2 X+2 2 X 2 X X X X X 0 0 X 0 2 X X+2 X+2 X 2 X 0 X+2 X 2 0 0 X+2 X 2 2 X+2 X 2 0 X+2 X+2 0 0 0 0 0 0 X 0 X X+2 X+2 0 2 X X X 0 0 0 2 2 2 X+2 X+2 X+2 X 0 X X+2 X+2 2 0 0 0 X X+2 2 X X+2 X+2 X+2 X 2 2 X+2 X 2 0 X X+2 X+2 0 X 0 2 2 X X+2 2 2 2 2 X X X 0 X 0 2 2 X+2 X+2 0 X X 0 0 X+2 X+2 2 0 0 X 0 0 2 X 2 2 0 X+2 2 0 0 X X 0 X 2 X 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+258x^90+228x^91+597x^92+368x^93+834x^94+572x^95+640x^96+528x^97+752x^98+412x^99+701x^100+360x^101+468x^102+256x^103+403x^104+180x^105+230x^106+120x^107+125x^108+32x^109+66x^110+12x^111+17x^112+4x^113+4x^114+9x^116+8x^118+3x^120+4x^122 The gray image is a code over GF(2) with n=392, k=13 and d=180. This code was found by Heurico 1.16 in 8.88 seconds.