The generator matrix 1 0 0 1 1 1 0 1 2 1 1 2 1 2 X+2 1 1 1 X+2 X+2 1 1 X+2 1 1 X+2 1 X+2 0 1 1 1 1 1 X 0 X 1 X+2 1 1 1 1 1 1 2 2 X+2 1 1 1 1 1 1 0 1 0 0 1 3 1 X 1 1 2 1 X+1 X+2 1 X+2 1 X 0 1 2 X+3 X X 1 1 X+3 1 1 1 X+3 X+1 X+1 1 1 1 1 3 X X X+2 X 3 0 0 1 1 2 X+3 X+2 X+1 X+2 1 X+3 0 0 1 X+1 X+3 0 X+1 1 X 1 X 3 0 1 X 2 X+2 X+1 1 X+3 1 1 1 X 3 2 X+2 3 X X+3 X X+1 X+3 2 X+2 X 0 3 1 X+2 3 2 X+2 X+3 X 1 1 1 X 2 1 0 2 X+2 0 0 0 2 0 0 0 0 0 2 2 2 2 2 2 2 2 2 0 0 0 2 2 0 0 2 0 2 2 2 2 0 0 2 0 0 2 2 0 2 0 0 2 0 2 0 0 0 0 2 0 0 0 2 0 0 0 0 2 2 2 0 2 2 0 2 2 0 2 2 0 2 2 0 2 0 2 2 0 2 0 0 0 2 2 2 0 0 2 0 0 0 2 0 2 2 2 2 2 2 0 0 2 0 2 0 0 0 generates a code of length 54 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 49. Homogenous weight enumerator: w(x)=1x^0+90x^49+222x^50+234x^51+262x^52+244x^53+207x^54+200x^55+109x^56+142x^57+123x^58+50x^59+53x^60+32x^61+21x^62+28x^63+22x^64+4x^65+3x^66+1x^68 The gray image is a code over GF(2) with n=216, k=11 and d=98. This code was found by Heurico 1.16 in 0.192 seconds.