The generator matrix 1 0 1 1 1 X+2 1 1 2 1 X 1 1 X+2 1 1 2 1 2 1 1 1 1 0 1 2 1 X+2 1 1 X+2 1 1 X+2 1 X+2 1 1 1 1 0 1 1 X 1 1 0 2 1 1 1 1 X 1 1 1 1 1 1 1 1 0 X X+2 1 0 1 1 1 X+2 0 X 2 1 1 1 1 X+2 1 1 1 1 1 1 1 1 X+2 1 1 1 X+2 X 2 2 0 1 1 X+2 X+3 1 0 X+1 1 X 1 3 X+2 1 X+3 X+2 1 X+3 1 0 1 1 2 1 0 1 X+3 1 1 X 1 1 X+3 1 0 1 X+1 2 X+3 2 1 1 0 1 X+2 X+2 1 1 X+2 X+1 X 1 1 3 0 X+3 0 0 X+2 X+1 X+2 1 1 1 3 1 X+3 X+1 3 1 1 1 1 X+2 X 0 2 1 3 0 0 3 X+1 1 X+2 X+2 1 X+1 X X+1 1 1 X 2 0 0 X 0 X+2 0 X+2 2 X X X 2 0 0 X+2 X+2 X 0 2 2 X 2 X 0 X X X X 2 X+2 2 X+2 0 X+2 0 0 2 X X+2 X 2 X+2 0 X+2 2 2 X+2 2 0 0 X+2 X+2 X+2 0 X+2 X+2 X+2 2 X X X+2 X+2 0 X+2 X X X+2 0 0 0 0 X 2 2 X 2 0 2 X X+2 0 2 X 0 0 X 2 X+2 0 X+2 X 2 X+2 0 0 0 0 2 0 0 0 2 2 0 2 2 2 0 0 0 2 2 0 0 2 0 2 2 2 0 2 2 2 2 2 0 0 2 0 0 2 2 2 2 2 0 2 2 0 0 0 0 2 0 0 2 0 0 0 0 2 0 2 2 2 0 0 0 0 0 0 2 0 2 0 2 2 0 0 2 2 0 0 2 0 2 2 2 0 2 2 0 2 2 2 2 2 2 0 0 0 0 2 0 0 0 0 2 0 2 2 2 2 0 2 0 2 2 2 0 2 2 0 0 2 2 0 2 2 0 2 0 2 2 2 0 0 0 0 2 2 0 0 0 0 0 2 0 2 2 2 2 0 0 0 0 2 0 0 0 2 2 2 2 0 2 2 2 2 0 0 0 0 2 0 0 0 2 0 2 2 2 2 0 0 2 0 0 2 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 0 2 2 2 0 0 2 2 0 2 2 0 0 0 2 2 0 2 0 0 0 2 2 0 2 0 2 0 2 0 0 0 2 2 0 0 2 2 2 2 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 2 0 0 2 2 0 2 2 0 2 0 2 0 0 2 2 2 2 2 2 0 0 0 2 2 0 0 2 2 0 0 0 0 0 2 2 0 2 0 2 2 0 2 2 0 2 0 0 2 2 2 0 2 0 0 0 0 2 2 2 0 2 0 0 2 2 0 0 0 2 0 2 2 2 2 0 2 0 0 2 generates a code of length 94 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 86. Homogenous weight enumerator: w(x)=1x^0+109x^86+132x^87+245x^88+292x^89+344x^90+304x^91+263x^92+300x^93+238x^94+304x^95+284x^96+316x^97+233x^98+256x^99+183x^100+116x^101+59x^102+28x^103+21x^104+23x^106+12x^108+13x^110+12x^112+4x^114+1x^118+1x^120+2x^124 The gray image is a code over GF(2) with n=376, k=12 and d=172. This code was found by Heurico 1.16 in 2 seconds.