The generator matrix 1 0 0 1 1 1 2 0 1 1 0 1 2 1 0 1 1 X+2 1 X+2 1 1 1 0 X+2 1 1 1 1 1 1 X 0 1 1 X X+2 X+2 2 1 1 1 1 X+2 1 0 1 1 1 1 1 1 X 1 0 1 0 0 1 1 1 2 0 0 1 1 1 1 1 X X+1 X 2 1 1 X+1 0 1 X 0 X X+3 2 X+2 X+3 1 1 X+3 X+1 1 1 2 X X+2 X X+1 X 1 X+1 1 1 1 2 3 X+2 1 X+2 0 0 0 1 1 2 3 1 1 0 1 2 2 3 3 1 X+3 0 1 X X+2 X+3 2 X X 1 X+1 2 X+3 X+1 X+2 3 3 X+2 X+2 X+2 X+3 X+2 1 1 1 X+3 3 2 X+2 0 0 X+2 X 1 X+1 X X+1 1 X+1 0 0 0 X 0 X X X X+2 2 X X+2 0 2 X+2 X 2 X 0 2 2 X X+2 X 2 2 2 X+2 X X+2 X X+2 2 0 X 0 X X 0 0 2 2 0 X+2 X+2 2 0 X+2 X+2 0 2 X+2 X+2 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+102x^49+175x^50+308x^51+217x^52+246x^53+199x^54+190x^55+153x^56+142x^57+66x^58+84x^59+54x^60+50x^61+19x^62+22x^63+4x^64+4x^65+5x^66+4x^67+3x^68 The gray image is a code over GF(2) with n=216, k=11 and d=98. This code was found by Heurico 1.11 in 0.119 seconds.