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 X 0 1 X 0 1 1 X 0 1 1 1 1 1 1 X 1 1 1 1 0 X 1 0 1 1 1 1 1 X 1 0 1 1 X X 1 X 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+2 X+2 X X X+2 X X X+2 X+2 X 0 0 X+2 X+2 X X+2 X+2 2 2 0 X X X+2 0 X 2 0 2 X+2 X X+2 X X X 2 X+2 X+2 0 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 2 0 2 0 2 0 2 0 2 0 2 2 0 2 0 0 2 2 0 2 0 0 0 2 0 2 0 2 2 2 2 0 0 2 2 0 0 2 2 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 0 0 0 0 0 0 2 2 2 0 0 0 2 2 2 0 2 2 2 2 0 0 2 0 2 2 2 0 0 2 0 0 2 0 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 0 2 2 2 2 0 0 0 2 0 0 0 2 0 0 0 2 0 2 2 2 2 2 2 2 0 2 2 2 0 2 0 0 2 0 2 2 2 0 0 2 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 0 2 0 0 2 2 2 0 2 0 0 2 0 2 2 2 0 2 0 2 0 2 2 0 2 2 0 0 2 0 0 0 0 2 2 2 0 2 0 0 2 0 2 0 0 2 0 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 2 2 2 0 0 2 0 0 2 0 0 0 0 2 0 2 0 2 2 0 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 2 2 2 2 2 0 0 2 2 0 2 2 0 0 0 0 2 2 0 0 0 0 0 2 2 2 2 0 2 0 0 2 2 2 2 2 2 2 2 2 2 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 2 0 2 2 2 0 2 0 2 2 2 0 0 2 0 0 2 2 0 2 2 0 0 0 2 0 2 2 0 2 2 2 0 2 2 2 2 0 2 2 2 2 2 0 0 2 0 generates a code of length 62 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 52. Homogenous weight enumerator: w(x)=1x^0+64x^52+16x^53+73x^54+108x^55+135x^56+164x^57+216x^58+364x^59+353x^60+372x^61+420x^62+372x^63+343x^64+364x^65+206x^66+164x^67+82x^68+108x^69+71x^70+16x^71+31x^72+20x^74+13x^76+11x^78+2x^80+6x^82+1x^94 The gray image is a code over GF(2) with n=248, k=12 and d=104. This code was found by Heurico 1.16 in 1.43 seconds.