The generator matrix 1 0 1 1 1 X+2 1 1 2 1 X 1 1 1 0 1 0 1 1 1 X X X 1 1 1 1 1 1 1 2 1 1 1 0 1 1 2 1 2 X 1 1 1 X 0 1 2 1 1 1 1 1 1 2 2 2 1 X+2 1 1 0 X 0 1 1 0 X+3 1 X X+1 1 3 1 X+2 X+3 0 1 X+3 1 2 X 1 1 1 1 1 X+2 X+2 3 X+2 X+3 0 1 X+1 0 1 1 3 X 1 X+1 1 1 X+3 X+3 X+2 1 0 X+3 1 0 3 2 0 X+3 X 1 X X X+3 1 X+2 X+2 1 2 0 0 X 0 X+2 0 0 X 0 X+2 0 0 0 X X+2 2 X+2 X X 0 X X 2 2 X X+2 X X 2 2 X 0 X+2 2 X X X+2 2 2 X 0 X X X X+2 0 X 2 0 X 2 X+2 2 X 0 2 X 2 2 0 X X+2 0 0 0 0 X 0 0 X X X X X+2 2 X X X+2 0 2 0 0 X+2 0 X+2 X+2 0 X 0 X+2 X+2 X X+2 0 2 X X+2 X 0 2 X 2 X+2 0 X X X X X X X X 2 2 X+2 X X 2 X 2 0 0 0 X+2 0 X 0 0 0 0 2 0 0 0 0 0 2 2 0 2 0 0 2 2 2 2 0 0 0 2 2 0 2 2 2 0 2 0 0 2 2 2 2 0 2 2 2 0 0 0 2 0 0 2 2 0 0 0 0 0 2 2 0 2 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 2 0 0 0 2 2 2 0 2 2 0 2 0 0 2 2 2 0 2 2 2 0 0 2 2 0 2 0 2 0 0 0 0 2 0 0 2 0 2 0 0 2 2 0 2 2 2 0 0 0 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 2 2 0 2 0 2 2 0 0 0 0 2 2 2 2 0 2 0 0 2 0 2 0 2 2 0 2 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 0 2 2 2 0 0 2 2 0 2 0 0 2 0 0 2 0 2 0 0 0 0 0 0 2 0 2 2 2 2 0 0 0 0 2 0 0 0 2 2 2 0 2 2 2 2 0 2 2 0 2 0 generates a code of length 63 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 53. Homogenous weight enumerator: w(x)=1x^0+70x^53+163x^54+268x^55+393x^56+556x^57+743x^58+1008x^59+1282x^60+1432x^61+1568x^62+1526x^63+1510x^64+1434x^65+1323x^66+1078x^67+666x^68+512x^69+336x^70+182x^71+91x^72+82x^73+77x^74+34x^75+18x^76+10x^77+12x^78+5x^80+1x^82+2x^84+1x^86 The gray image is a code over GF(2) with n=252, k=14 and d=106. This code was found by Heurico 1.16 in 78.3 seconds.