The generator matrix 1 0 1 1 1 X+2 1 1 0 1 1 X+2 1 1 X+2 1 1 0 1 0 1 1 1 X+2 1 1 0 1 X+2 1 1 1 1 X+2 1 1 1 0 X+2 1 1 2 1 1 1 X 1 1 1 1 0 X 1 1 1 0 1 1 1 1 0 2 1 1 1 1 1 X 1 1 0 1 1 1 1 2 1 X 1 X+2 2 2 1 X 1 1 1 1 X+2 X+2 1 1 1 0 1 X+1 X+2 1 1 0 X+1 1 X+2 3 1 0 X+1 1 X+2 3 1 3 1 0 X+2 X+1 1 X+2 X+1 1 0 1 2 3 X+2 X 1 3 X+1 0 1 1 X+3 X 1 3 1 X+2 1 0 1 0 X+3 1 1 2 X X 1 0 X+2 1 1 1 1 3 X+3 3 3 X 0 X+1 X+1 1 X+3 X+1 X+3 1 X X+1 1 X 1 1 1 1 1 X+3 X+3 X+3 2 1 1 3 3 X+1 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 2 0 2 0 2 2 0 2 2 0 2 2 0 0 2 0 0 2 0 2 2 2 0 2 2 0 0 2 2 0 0 0 0 2 2 2 2 0 0 0 0 0 2 2 0 0 2 2 0 0 2 0 0 2 2 2 2 0 2 2 0 0 0 0 0 0 0 0 0 2 2 2 0 2 0 0 0 2 0 0 0 0 0 2 0 2 2 0 2 0 2 0 2 0 2 2 0 0 2 0 0 2 0 0 0 2 0 2 2 2 2 0 0 0 2 0 2 0 2 2 0 2 0 0 2 2 2 2 0 0 2 0 0 0 2 0 2 2 2 0 2 0 0 0 2 2 2 0 2 2 0 2 0 2 0 0 0 0 2 2 0 0 0 0 2 2 0 0 0 0 0 2 0 0 0 0 2 2 0 2 2 0 0 2 2 2 2 0 2 2 0 0 2 0 0 0 2 2 0 0 0 0 2 0 2 0 2 0 0 2 0 0 0 0 2 2 0 2 0 0 2 2 2 2 0 0 2 2 0 2 0 2 2 0 0 2 0 0 0 2 0 0 2 2 0 2 2 2 0 0 2 2 0 2 0 2 2 0 0 2 0 0 0 0 0 2 0 0 2 0 2 2 0 0 2 2 2 0 0 2 0 2 2 0 2 2 0 0 2 0 0 2 2 0 2 2 0 0 0 2 0 0 2 2 0 0 0 2 2 2 0 0 2 2 0 2 0 2 2 2 0 2 0 2 0 2 0 2 2 0 0 0 2 2 0 2 0 0 2 0 2 2 2 0 0 0 0 2 0 0 2 0 2 0 0 0 0 0 0 2 0 2 0 0 0 2 0 2 0 2 2 2 2 2 0 0 0 2 2 2 0 2 2 2 2 0 2 0 2 2 2 0 2 2 2 2 2 2 0 2 0 0 0 0 0 0 0 0 0 2 2 2 0 0 2 0 2 0 2 0 0 2 2 0 2 2 0 0 0 2 0 0 2 2 0 0 0 0 0 2 2 0 2 0 2 2 0 0 0 0 0 0 0 2 2 0 2 0 0 2 2 2 2 0 2 0 0 2 0 2 2 0 2 0 0 0 2 0 0 0 2 2 0 2 0 2 2 0 0 0 2 0 2 2 2 2 2 2 0 0 0 0 2 0 2 0 0 2 2 0 2 0 2 2 2 0 0 2 0 2 0 2 0 2 0 0 2 2 0 0 2 2 2 2 0 2 0 0 0 generates a code of length 93 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 84. Homogenous weight enumerator: w(x)=1x^0+40x^84+76x^85+224x^86+120x^87+367x^88+114x^89+457x^90+134x^91+488x^92+130x^93+446x^94+150x^95+474x^96+126x^97+337x^98+98x^99+142x^100+58x^101+54x^102+10x^103+10x^104+8x^105+10x^106+8x^108+3x^110+3x^112+2x^114+2x^116+1x^120+1x^122+1x^126+1x^130 The gray image is a code over GF(2) with n=372, k=12 and d=168. This code was found by Heurico 1.16 in 1.85 seconds.