The generator matrix 1 0 1 1 1 X+2 2 1 1 1 1 0 0 1 1 1 X 1 1 0 1 0 1 X 1 1 1 1 1 X 1 1 2 X+2 1 1 1 X 1 X 1 1 X 1 1 2 1 2 1 0 1 1 2 1 2 X 1 1 X+2 1 X+2 1 0 1 1 1 1 X+2 1 1 1 1 X+2 X 1 1 1 1 1 0 1 1 1 1 1 1 1 1 X+2 1 X+2 1 1 X+2 1 1 0 1 1 0 1 1 1 0 X+1 2 X+1 1 1 X+3 2 1 1 0 0 1 X+3 1 X+2 1 X+1 X 1 X+2 3 1 X+2 X+1 1 1 X+3 X 1 1 0 1 X+2 X+3 1 2 1 1 3 1 X+1 1 3 X 1 2 1 1 X+1 2 1 2 1 3 1 0 X+3 X+1 1 1 X X+2 2 1 1 0 3 2 X+1 1 2 1 3 X 1 X 2 2 X+1 X 1 X+1 1 1 X+2 1 X+2 0 0 0 X 0 0 0 0 X+2 2 X X+2 X+2 0 0 2 2 0 2 X+2 X+2 X X+2 X+2 X X X 2 2 X X+2 0 X X X+2 X+2 2 X+2 X X+2 2 X+2 0 0 X+2 0 0 X+2 0 2 X+2 0 X+2 0 X 2 X X 2 2 0 X+2 2 2 0 0 0 X 2 X+2 0 X+2 X X+2 0 X+2 X+2 2 X 2 0 0 X+2 X X 2 2 0 X+2 X 0 X+2 X 2 X X 0 0 0 0 X 0 0 0 0 X+2 X X X+2 X+2 X 0 2 X X+2 2 0 X 2 X+2 X+2 2 X+2 X X+2 X+2 2 X+2 X+2 X 2 0 2 0 X+2 0 2 X X+2 X+2 0 X X+2 X 2 0 2 X X+2 X+2 2 2 2 2 0 X X+2 X 0 X+2 X X X 0 2 0 X X+2 0 X X X+2 X X+2 2 X X X+2 X+2 X+2 2 0 2 2 0 2 2 0 X+2 2 0 X 0 0 0 0 0 X 0 X+2 X X+2 X+2 2 0 X+2 0 X 0 2 X 2 X+2 X+2 0 2 X X X+2 2 0 X 0 X 2 2 X 2 X X+2 X+2 X X+2 0 X X 2 2 2 2 X+2 X X X X+2 X+2 2 2 2 2 2 0 X 0 0 2 2 X X 2 X 0 X+2 X+2 0 2 X+2 X+2 X 2 2 X 2 0 2 X 2 X+2 2 X X+2 X+2 2 2 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 2 2 2 2 0 2 0 2 0 2 2 0 2 0 0 0 2 2 0 2 2 0 0 2 2 0 0 0 0 0 2 2 0 2 0 2 0 0 2 2 2 2 0 2 0 0 2 2 2 2 0 0 0 0 2 0 0 0 2 0 2 0 0 0 2 2 2 2 0 2 2 0 0 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+31x^86+72x^87+204x^88+330x^89+448x^90+492x^91+470x^92+628x^93+669x^94+602x^95+619x^96+598x^97+526x^98+584x^99+513x^100+366x^101+360x^102+234x^103+137x^104+106x^105+43x^106+40x^107+22x^108+12x^109+23x^110+18x^111+11x^112+6x^113+10x^114+4x^115+6x^116+2x^117+2x^119+1x^124+1x^126+1x^130 The gray image is a code over GF(2) with n=384, k=13 and d=172. This code was found by Heurico 1.16 in 7.52 seconds.