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 X 0 1 X 0 X 1 1 X X 0 1 1 X 1 X 2 1 1 0 X 0 1 1 1 1 0 2 X 1 2 0 X 1 0 X 0 X 0 0 X X+2 0 2 X 0 X+2 2 X+2 X+2 0 2 X 2 X 0 X+2 X+2 X 0 X+2 0 2 2 X+2 X X+2 2 X+2 X 2 0 0 X+2 2 2 X X X+2 2 0 0 2 2 2 0 2 X X X X+2 X X X+2 0 0 0 X X 0 X+2 X 0 0 X X 2 2 X+2 X 0 2 X X X+2 0 0 2 X 0 X X X+2 X 0 0 0 0 0 X+2 X X X 2 X X X+2 X X+2 2 X X X+2 X 2 X+2 X 2 2 X+2 X+2 0 X+2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 0 2 2 2 0 0 2 0 2 0 2 2 0 2 0 2 0 2 0 0 2 0 2 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 2 2 0 0 0 2 2 0 2 0 2 0 0 0 2 2 2 2 0 2 0 0 0 2 2 0 2 0 2 2 0 2 0 2 2 0 2 0 2 0 0 2 2 2 2 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 2 2 2 2 0 2 0 2 2 0 0 0 2 0 2 2 2 2 2 2 2 2 2 2 2 2 0 2 0 0 0 0 2 0 2 2 0 2 2 2 2 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 2 2 2 2 0 2 2 0 0 2 0 2 2 2 2 0 0 0 0 2 2 2 0 0 2 0 0 2 0 2 2 2 0 2 0 0 2 2 0 2 0 0 2 0 2 2 0 0 0 0 0 0 0 2 0 2 2 2 2 0 0 2 2 0 2 2 0 0 2 2 2 2 0 0 2 2 2 0 0 0 2 0 0 2 0 0 0 2 2 2 0 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 2 0 0 0 2 2 2 0 2 0 0 2 0 0 2 0 0 2 0 0 2 0 2 0 0 2 2 0 0 2 2 0 2 0 0 2 2 0 0 2 2 0 generates a code of length 61 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 50. Homogenous weight enumerator: w(x)=1x^0+44x^50+38x^51+131x^52+176x^53+181x^54+398x^55+213x^56+692x^57+229x^58+1108x^59+238x^60+1340x^61+260x^62+1104x^63+230x^64+692x^65+193x^66+370x^67+139x^68+164x^69+89x^70+50x^71+55x^72+8x^73+19x^74+4x^75+12x^76+6x^78+5x^80+3x^82 The gray image is a code over GF(2) with n=244, k=13 and d=100. This code was found by Heurico 1.16 in 5.25 seconds.