The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 X 2 2 X 2 0 X 0 X 0 0 X+2 X+2 0 0 X X 0 0 X+2 X+2 2 2 X X+2 2 2 X+2 X 2 2 X X+2 2 2 X+2 X 0 2 X X+2 0 2 X X+2 0 0 X X 0 X 2 X+2 X X X X X X 0 0 X X 0 X+2 X+2 0 2 X+2 X+2 2 2 X X 2 2 X X 0 2 X X+2 2 0 X+2 X+2 2 0 X+2 X 0 0 X X 0 0 X X 0 2 X+2 0 X+2 X 2 0 X 2 X X+2 2 X X 0 0 0 2 2 2 0 2 2 0 2 0 0 2 0 2 0 0 0 0 2 2 2 2 2 2 0 0 0 0 2 2 0 0 0 0 2 2 2 2 2 0 2 2 2 0 0 0 2 0 0 2 2 2 generates a code of length 54 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 52. Homogenous weight enumerator: w(x)=1x^0+106x^52+64x^54+70x^56+14x^60+1x^96 The gray image is a code over GF(2) with n=216, k=8 and d=104. This code was found by Heurico 1.16 in 1.39 seconds.