The generator matrix 1 0 0 1 1 1 X+2 1 X 1 1 X 1 2 1 1 1 1 0 X 2 1 1 1 1 2 2 X X+2 1 0 2 1 1 1 1 X+2 1 1 X 1 1 1 1 X+2 1 1 0 1 1 1 2 1 1 X+2 X+2 1 1 X+2 X 0 1 1 1 1 1 X X 1 1 1 0 1 1 1 1 1 1 1 2 1 1 1 1 X+2 X 0 1 1 1 X+2 2 1 1 0 2 0 1 0 0 1 X+1 1 2 0 2 X+3 1 3 1 0 0 1 X+1 1 1 2 0 2 3 X+1 0 1 1 1 0 1 2 2 X+3 2 X+3 1 X+3 X+2 X X+2 1 1 X+2 X X+1 1 1 X+2 X+2 X 1 1 X+2 1 1 X+2 X+1 1 X 2 X+1 3 X+1 0 2 1 X+2 2 X 0 X+2 1 X 2 0 3 X+3 1 1 X X+1 X+2 3 1 1 1 0 X+2 3 1 1 X+3 2 2 1 0 0 1 1 1 2 3 1 1 0 X+3 2 2 1 X+1 0 0 3 0 1 1 X+3 X+2 X X+3 1 X 3 X+2 X+3 X+3 1 3 X+2 X+2 X+2 X+2 X+1 2 1 0 X+3 3 0 1 X+3 X X X+3 0 X+1 3 2 3 2 0 X+1 X+1 X+2 1 1 3 1 2 1 1 X+2 1 0 X+3 2 1 0 X+3 X+3 X+2 X X+3 0 X+3 X+1 3 X+1 0 2 2 X+2 X 1 X+2 3 1 X+3 X+1 1 X+2 0 0 0 X 0 0 0 2 0 0 0 0 0 0 2 X X+2 X X X X+2 X+2 X+2 X X+2 X+2 2 X+2 2 2 0 0 0 0 X+2 2 X X 2 X+2 X+2 X+2 X 2 2 2 X 0 X X+2 X X X 0 2 X+2 0 2 X+2 X X+2 2 2 2 X X+2 X+2 X+2 X+2 0 0 X 2 X X+2 0 0 2 0 2 0 0 X+2 X+2 2 X X+2 2 2 2 X X+2 X X+2 0 0 0 0 0 0 X 0 X X+2 X+2 X+2 0 X X+2 2 0 X 0 0 X+2 2 X+2 X+2 2 X X 2 X+2 X 2 X+2 2 X+2 0 X X+2 0 0 0 X+2 X+2 2 2 X 0 X+2 2 X+2 X 0 X X 2 X+2 2 2 X+2 X+2 X+2 2 X+2 X X 0 0 X+2 0 X 2 X X 2 X X 2 0 0 X+2 X 0 2 0 2 X+2 X+2 X 0 2 X X 0 X X X 0 X X+2 generates a code of length 96 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 88. Homogenous weight enumerator: w(x)=1x^0+261x^88+224x^89+530x^90+452x^91+790x^92+492x^93+744x^94+468x^95+831x^96+448x^97+662x^98+404x^99+440x^100+224x^101+418x^102+208x^103+253x^104+96x^105+72x^106+32x^107+58x^108+20x^109+30x^110+4x^111+10x^112+8x^114+8x^116+4x^120 The gray image is a code over GF(2) with n=384, k=13 and d=176. This code was found by Heurico 1.16 in 5.48 seconds.