The generator matrix 1 0 0 0 1 1 1 2 0 1 1 1 2 1 2 0 2 2 1 2 1 2 0 0 1 1 0 1 1 0 1 1 1 1 1 X+2 0 X+2 X+2 1 X 1 X X+2 1 X X X+2 1 1 1 X+2 1 1 1 1 X+2 X+2 1 X 1 0 0 1 1 X+2 X 1 X+2 1 1 1 1 1 2 1 X+2 1 1 2 1 X+2 1 2 1 X+2 0 0 1 1 0 1 1 0 X 0 1 0 0 0 2 2 2 1 X+3 X+1 X+3 1 X+1 1 1 1 0 2 2 X+3 1 1 X X+2 3 1 X X+1 X 3 0 X+1 X X 1 X X 1 X+2 1 1 X X 1 1 1 1 1 2 3 1 X+3 X X+3 1 2 0 3 1 X 1 1 2 X+1 1 1 0 X+2 X+3 0 1 2 0 1 0 1 X X 2 X X 1 1 1 1 1 1 X+1 2 X 0 X+2 1 0 0 0 1 0 2 1 3 1 X+1 1 2 3 X+1 0 0 2 X+3 1 0 1 2 2 X+3 X X+2 X+1 X+2 X+3 X+2 1 X+3 X+1 X X+2 X X 0 1 3 1 1 1 0 1 1 X+3 0 X+3 2 X 0 2 X+2 X+1 X+3 X 0 1 X+2 X+1 2 1 3 X+2 X+2 3 X X+3 1 X+1 2 0 X+1 X 1 1 X 1 X+3 1 0 X 3 X+3 1 0 X+2 3 X+2 X 1 0 2 X+2 0 0 0 0 1 X+3 X+3 0 X+1 2 0 2 X+3 1 X+1 3 X X+1 X X+2 1 X X+3 X+2 1 3 0 3 1 1 X+1 X+1 2 X X+1 0 X+2 1 2 X+3 1 1 X 1 X 0 3 X+2 X X+2 1 1 3 2 2 X+1 X+3 1 1 1 2 0 2 X+3 X X+1 0 X X X+3 X+2 3 0 1 2 X+2 2 X+1 X+2 3 0 X 1 X+1 2 3 X+1 1 3 3 X X X+2 0 0 1 generates a code of length 95 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 89. Homogenous weight enumerator: w(x)=1x^0+352x^89+190x^90+578x^91+222x^92+606x^93+206x^94+480x^95+115x^96+358x^97+80x^98+240x^99+70x^100+170x^101+74x^102+112x^103+32x^104+98x^105+22x^106+42x^107+8x^108+16x^109+4x^110+16x^111+4x^115 The gray image is a code over GF(2) with n=380, k=12 and d=178. This code was found by Heurico 1.16 in 88 seconds.