The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 X X X 1 X X X 1 1 1 1 X X X X^2 1 X^2 X^2 X^2 X^2 X^2 X^2 X 1 X X X X 1 1 1 1 1 1 0 2 0 0 0 2 2 2 0 0 0 0 2 2 2 2 0 0 0 2 0 2 2 2 0 2 2 0 0 2 2 0 0 2 2 0 0 2 2 0 0 2 2 0 2 2 0 0 0 2 0 2 2 0 0 0 2 0 2 2 2 0 0 0 2 2 2 2 0 0 0 0 2 2 2 0 0 2 0 2 2 2 2 0 0 0 2 2 0 0 2 2 0 0 2 2 0 2 2 0 2 0 0 2 2 2 0 0 0 0 0 2 2 0 2 2 0 2 2 0 0 2 2 0 0 2 2 0 0 2 0 2 2 0 2 2 0 2 0 2 2 0 0 0 0 2 2 2 2 0 0 0 2 2 0 0 2 0 2 2 2 0 generates a code of length 54 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 53. Homogenous weight enumerator: w(x)=1x^0+28x^53+82x^54+6x^56+4x^58+4x^61+2x^62+1x^64 The gray image is a code over GF(2) with n=432, k=7 and d=212. This code was found by Heurico 1.16 in 0.078 seconds.