The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 0 1 1 X 0 1 1 1 1 X 0 1 X 1 0 1 1 1 1 1 1 1 X 1 1 0 1 X X X 0 1 0 1 0 1 X 1 1 1 1 0 X 0 X+2 0 X+2 0 X+2 0 X+2 2 X+2 0 X+2 X 0 2 0 0 2 X+2 X+2 X X X+2 X+2 X X 0 2 0 X+2 X X+2 X+2 X X X+2 X+2 2 X+2 X+2 0 X+2 X+2 2 2 X 0 X+2 X+2 0 X 2 X X X 2 X+2 X+2 X+2 X+2 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 0 0 0 0 0 2 0 2 0 0 2 2 2 2 2 0 2 2 2 0 0 0 0 2 0 2 2 0 2 0 2 2 2 2 0 0 0 0 0 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 0 0 0 0 0 0 0 2 2 0 2 0 2 2 2 2 0 2 0 0 2 0 2 2 0 2 0 2 0 0 0 2 0 2 0 0 2 2 0 0 2 2 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 0 2 0 0 0 0 2 0 2 0 0 0 2 2 2 2 0 2 2 2 2 2 2 0 2 0 2 0 0 2 0 0 0 2 0 2 0 2 2 2 2 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 0 2 0 0 2 2 2 0 2 2 0 2 2 2 0 2 0 2 2 2 0 2 2 0 0 0 0 2 0 0 2 0 2 0 0 0 0 0 0 2 2 0 0 2 2 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 2 0 0 0 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2 2 0 2 2 0 0 0 2 2 0 2 0 0 0 2 2 2 2 0 2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 2 2 2 2 2 0 0 2 2 2 2 0 0 0 0 0 0 2 2 2 2 0 0 0 2 0 2 2 2 2 0 0 2 0 0 0 0 0 2 0 2 2 2 0 2 2 0 2 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 2 0 2 2 2 0 0 2 2 2 0 0 0 2 2 0 2 2 0 0 0 0 2 2 2 0 2 0 0 0 2 0 0 2 2 2 2 2 2 2 0 0 0 2 0 2 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+26x^52+26x^53+54x^54+52x^55+79x^56+200x^57+117x^58+322x^59+130x^60+580x^61+143x^62+696x^63+137x^64+576x^65+108x^66+388x^67+74x^68+146x^69+48x^70+68x^71+31x^72+8x^73+25x^74+10x^75+23x^76+11x^78+8x^80+6x^82+2x^84+1x^92 The gray image is a code over GF(2) with n=252, k=12 and d=104. This code was found by Heurico 1.16 in 1.44 seconds.