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 X 0 1 X 0 1 1 X 1 1 0 0 X 1 X 0 1 1 1 1 1 1 1 X 1 1 0 1 X 1 1 1 1 1 1 2 X 1 1 0 X 0 X+2 0 X+2 0 X+2 0 X+2 2 X+2 0 X+2 0 2 X+2 X 0 0 X+2 X 2 X+2 X+2 X 0 X+2 X X+2 0 X+2 2 X+2 X X X+2 X+2 X+2 X 0 X 2 0 2 X+2 0 X+2 X X+2 X X+2 X+2 0 X+2 X X X 2 0 X+2 X+2 X 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 2 0 0 0 2 2 2 2 2 0 0 2 2 2 0 0 0 2 2 0 0 0 0 2 0 2 2 2 2 0 0 2 2 2 2 0 0 0 2 0 0 0 2 0 2 0 2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 0 0 2 2 0 2 2 2 2 2 2 0 2 2 0 2 0 2 0 2 2 0 0 2 0 2 2 2 2 2 2 0 0 2 2 2 0 2 2 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 2 2 2 2 0 2 0 2 0 0 2 2 0 2 2 0 2 0 2 2 2 2 0 2 0 2 2 0 2 2 0 0 0 2 0 2 2 2 2 0 2 0 2 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 2 2 0 0 2 2 0 0 2 0 2 0 2 0 2 2 2 2 2 0 0 0 2 2 2 2 2 0 0 2 2 0 0 2 2 0 2 2 2 0 2 0 0 2 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 0 2 2 2 2 0 2 0 2 0 0 2 0 0 0 0 2 2 2 0 2 0 2 0 0 2 2 0 0 0 0 0 0 2 2 0 2 0 0 2 2 2 2 0 0 2 2 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 2 2 2 2 0 2 2 0 0 2 2 2 0 2 2 0 0 2 2 0 0 0 2 0 0 2 2 0 2 2 2 0 0 2 2 0 2 2 2 2 0 0 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 2 0 0 0 2 0 2 2 2 2 0 2 0 0 2 2 0 2 2 0 0 0 2 0 2 2 2 2 0 0 0 2 2 2 0 0 2 0 0 0 0 2 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 2 2 2 0 2 0 0 2 2 2 0 2 0 0 2 0 2 2 0 0 2 2 2 2 0 0 2 2 2 2 0 2 2 0 0 2 0 2 2 2 0 0 0 0 2 0 0 0 0 generates a code of length 63 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 52. Homogenous weight enumerator: w(x)=1x^0+139x^52+100x^54+447x^56+608x^58+1287x^60+1488x^62+1724x^64+1096x^66+700x^68+268x^70+215x^72+24x^74+59x^76+28x^80+7x^84+1x^96 The gray image is a code over GF(2) with n=252, k=13 and d=104. This code was found by Heurico 1.16 in 6.27 seconds.