The generator matrix 1 0 0 0 0 1 1 1 2 1 1 1 1 X X 0 X+2 X+2 1 1 0 1 1 1 X+2 1 1 1 2 X+2 2 2 1 1 1 1 1 X+2 1 0 X 1 0 0 X 1 2 1 X 0 1 1 X+2 1 X+2 1 1 2 X X X+2 0 X+2 X+2 1 1 1 1 X 1 1 1 0 1 1 1 1 0 0 X+2 X 1 X+2 X+2 0 2 X 2 1 1 1 1 1 1 1 1 0 1 0 0 0 0 0 0 0 2 0 2 0 2 0 2 2 0 2 0 0 2 2 2 2 2 2 3 1 1 1 1 X+1 1 X+1 1 X+1 1 1 1 1 1 X X+2 X+2 X+3 1 3 1 X X X+2 X+2 X+1 1 X+2 1 X+2 1 X+2 1 1 X 1 X X+2 X+1 X+1 X X+1 0 1 1 1 3 X+2 X+3 X+2 X+2 0 1 2 X+2 X+2 1 1 1 1 1 1 X+3 X+1 X 1 X+2 X+3 0 0 1 0 0 2 1 3 1 X X+3 0 3 1 1 2 1 1 X+3 X+2 X X+3 X+2 2 1 X+1 X+3 0 1 X+2 X+2 X+1 1 X 2 X+1 X+1 X+3 X+1 3 3 X+1 2 1 1 0 0 0 0 1 0 2 2 X+2 0 0 X+3 X X 1 X+3 X 2 3 X X 1 X 1 X+3 1 X+2 1 0 X X+3 2 1 1 0 X+3 X 1 1 1 3 3 X+3 3 X 0 X+2 X+2 X+1 1 X 0 0 0 1 0 3 1 2 3 0 0 X+1 X+1 3 0 1 X+3 X+2 X X+2 1 3 1 X+2 2 X X+3 2 X 3 X+1 1 0 X+3 X 2 X+3 2 0 X+3 0 1 1 3 X+3 1 0 X 3 2 X+2 3 1 X X+3 X+3 X+1 X X+3 1 3 1 1 1 1 2 X X+3 X+3 2 2 1 1 X+3 X+1 X+2 2 X X+1 1 X+2 X 1 0 0 X+1 2 0 X+2 2 0 3 X+2 X+1 X+2 X+1 0 0 0 0 1 1 2 3 3 X+1 X X X+1 0 3 X+3 X+2 X+1 X+1 3 3 0 X+2 0 2 X+2 1 X+3 X 1 2 X X X+3 0 1 2 1 0 1 X X+3 X+2 3 3 0 X+2 X+2 X+1 2 1 X+3 X+3 X X+2 X+3 3 1 X 2 0 2 2 3 3 X+3 X+3 0 X+3 X+2 X+3 2 1 X+1 3 X+3 X+2 X+2 X+1 2 X+3 0 X X+2 X+1 X+3 2 X+3 X+1 2 X+3 X+2 X X+2 2 X+2 generates a code of length 96 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 86. Homogenous weight enumerator: w(x)=1x^0+292x^86+540x^87+1046x^88+1240x^89+1734x^90+1696x^91+2007x^92+2020x^93+2564x^94+2260x^95+2524x^96+2332x^97+2362x^98+2012x^99+1956x^100+1508x^101+1472x^102+1000x^103+861x^104+476x^105+356x^106+228x^107+130x^108+40x^109+76x^110+8x^111+8x^112+8x^114+11x^116 The gray image is a code over GF(2) with n=384, k=15 and d=172. This code was found by Heurico 1.13 in 25 seconds.