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 X 0 X X X X 0 X 0 1 2 1 0 1 X 1 0 1 X 1 1 X 0 1 2 1 1 X 1 X 0 1 0 X 0 X 0 X 0 0 X X+2 0 2 X 0 X+2 2 X+2 X X+2 0 0 X X 2 0 X X 0 X+2 X 0 2 X 2 X X+2 X X X 0 X X 2 0 X+2 0 X 0 2 X 0 X X X+2 X X 0 X+2 X+2 X X X+2 2 0 0 0 X X 0 X+2 X 0 0 X X 2 2 X+2 X 2 0 0 0 X X X X+2 0 X+2 X+2 X 2 X+2 X X+2 X X 0 0 X+2 2 0 X 0 X 0 2 X 2 X X+2 0 2 2 2 X 0 0 0 0 2 X+2 2 0 X X+2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 0 0 2 2 0 0 0 2 0 2 2 2 2 2 2 0 0 2 0 2 2 0 0 0 0 2 0 2 2 2 2 2 2 0 0 0 2 2 2 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 2 2 0 0 2 2 2 2 2 2 0 0 0 0 2 0 0 2 2 2 2 2 2 2 2 2 0 0 0 0 2 2 0 0 0 2 0 0 2 2 0 2 0 2 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 2 2 0 2 0 2 2 0 2 2 2 0 0 2 0 2 2 0 0 2 0 2 2 0 2 2 0 0 2 2 2 0 2 2 2 2 2 2 2 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 2 2 2 2 2 0 0 0 0 0 2 2 0 2 0 2 0 0 2 2 0 2 0 2 2 2 0 0 2 2 2 0 2 2 0 2 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 0 0 2 0 2 0 2 0 2 0 2 2 2 2 2 2 0 2 2 2 0 2 0 0 0 2 0 0 2 0 2 0 0 2 0 0 0 0 0 0 2 0 2 2 0 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 0 2 2 0 0 0 2 2 2 2 2 2 0 0 2 2 0 2 2 2 0 0 0 2 2 0 2 0 0 0 0 2 2 0 2 0 0 2 0 2 2 0 0 0 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+131x^52+8x^53+326x^54+40x^55+552x^56+160x^57+738x^58+352x^59+877x^60+464x^61+982x^62+464x^63+880x^64+352x^65+708x^66+160x^67+468x^68+40x^69+274x^70+8x^71+122x^72+42x^74+25x^76+2x^78+13x^80+3x^84 The gray image is a code over GF(2) with n=248, k=13 and d=104. This code was found by Heurico 1.16 in 5.46 seconds.