The generator matrix 1 0 1 1 1 X+2 1 1 0 1 1 X+2 1 1 0 1 X+2 1 1 X 1 0 1 1 1 0 1 1 1 X+2 1 1 X+2 1 1 1 0 1 2 1 1 X+2 1 1 1 0 1 1 X+2 0 1 X+2 1 X+2 1 0 2 X 1 X+2 2 1 X+2 1 1 X 1 1 1 1 1 1 0 2 1 1 X 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 X+2 0 X+2 X 0 1 X+1 X+2 1 1 0 X+1 1 X+2 3 1 0 X+1 1 X+2 1 3 3 1 X 1 X+1 0 X+3 1 0 2 3 1 X+2 X+1 1 X+3 X+2 3 1 X 1 0 3 1 X+2 3 0 1 3 X+1 1 1 1 1 0 1 X+1 1 1 1 0 1 1 1 1 X+1 3 1 X+2 X+1 2 X X+2 X+3 1 1 2 3 1 X+1 0 X+2 X+3 X+2 1 X 3 1 X+1 0 X+2 X+1 2 X X+3 3 1 1 1 X+2 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 2 2 2 2 2 0 2 0 2 2 0 0 0 2 2 2 0 0 0 2 2 2 2 0 2 2 0 0 0 2 0 0 2 0 2 0 2 2 2 2 0 0 0 2 0 2 2 0 0 2 2 0 2 2 2 0 0 2 0 2 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 2 0 0 0 2 0 2 2 2 2 0 2 0 0 2 2 0 2 2 0 0 0 0 2 0 0 0 2 2 0 2 0 2 2 2 2 0 2 2 0 2 2 0 0 2 0 2 0 2 0 0 2 0 0 0 2 0 2 2 0 0 2 0 0 2 0 2 0 2 0 0 2 2 2 2 0 2 2 0 0 2 2 0 2 2 0 0 0 0 0 2 0 0 0 0 0 2 2 0 2 0 2 2 2 2 0 2 2 2 2 0 0 0 0 0 2 2 0 0 2 0 2 0 2 0 0 0 0 2 2 0 2 2 2 2 0 0 2 0 0 2 0 0 0 0 2 0 2 2 0 0 2 0 2 2 2 0 0 2 2 2 2 0 2 2 0 2 0 2 2 2 0 2 0 2 0 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 2 2 2 2 0 2 0 2 0 2 2 0 0 2 2 2 2 0 2 2 0 2 0 0 2 0 0 2 0 2 2 0 2 0 2 0 0 2 2 2 2 0 0 2 2 2 2 2 0 2 2 2 2 2 0 2 0 2 0 2 2 2 0 0 0 2 0 2 2 0 2 0 2 2 2 0 0 2 2 2 2 2 0 0 0 0 0 0 0 2 0 0 2 0 2 2 0 0 2 2 2 2 0 0 0 0 2 0 2 2 0 0 0 0 2 2 2 2 2 2 2 2 2 2 0 2 2 2 0 2 2 0 2 0 0 0 2 0 2 2 0 0 0 0 2 0 2 2 2 2 0 0 2 0 2 0 2 0 2 2 0 0 0 0 2 2 2 2 2 2 0 2 0 2 0 2 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 0 0 2 0 2 0 0 2 0 0 2 2 0 2 2 2 2 0 0 0 0 0 2 2 0 2 2 2 2 0 2 0 0 0 2 0 2 0 2 2 0 0 2 0 0 2 2 0 2 2 0 0 2 0 2 2 0 2 0 2 0 0 2 0 0 0 0 2 0 2 2 2 2 2 0 2 0 2 0 2 2 0 0 2 2 2 2 0 0 0 0 0 0 0 0 2 0 2 2 0 0 2 0 0 2 0 2 0 0 2 0 2 2 2 2 2 2 0 0 2 0 0 2 0 0 2 0 0 0 2 0 2 2 0 0 2 0 2 2 2 0 0 0 2 2 0 0 2 0 0 0 2 2 2 2 2 0 0 2 2 0 2 2 2 0 0 2 0 0 2 2 0 0 2 2 0 0 2 0 2 2 0 0 2 2 generates a code of length 98 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 88. Homogenous weight enumerator: w(x)=1x^0+173x^88+36x^89+238x^90+192x^91+542x^92+328x^93+556x^94+440x^95+749x^96+560x^97+680x^98+504x^99+731x^100+440x^101+580x^102+360x^103+469x^104+172x^105+234x^106+40x^107+97x^108+16x^110+16x^112+14x^116+12x^120+7x^124+4x^128+1x^132 The gray image is a code over GF(2) with n=392, k=13 and d=176. This code was found by Heurico 1.16 in 90 seconds.