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 1 1 1 1 1 1 1 1 1 2 X 0 X X 1 1 0 X X 1 2 1 1 X X 2 1 1 2 1 1 1 0 X 1 1 X 0 X 1 1 1 X X 2 X 0 X 0 0 0 X X+2 X 0 2 2 X X+2 X X 0 0 0 2 X+2 X+2 2 X+2 X X+2 0 0 X 2 0 X X 0 X X 2 0 X 2 2 2 0 X+2 X+2 X X 2 2 2 2 X+2 X X+2 X X 2 0 0 0 X+2 X 2 X X X+2 0 X+2 X+2 X X+2 X 0 X X+2 0 0 X 0 X X X+2 0 0 0 X X X 0 2 X+2 X 0 2 2 0 0 X+2 2 X X+2 2 X+2 X X 0 X+2 0 0 2 0 X 2 X+2 X X X+2 2 2 X X X+2 2 X 2 2 X 2 2 2 X+2 X X X X+2 0 X X+2 0 X X X 0 X+2 X X+2 0 X 2 0 0 0 X X 0 X+2 X 2 X 2 0 X 2 X+2 X 2 2 X X+2 2 X 0 X X+2 X+2 0 2 2 X+2 2 X X+2 2 0 0 X X X+2 0 0 0 0 X+2 X 0 X 0 X+2 X+2 X+2 0 0 0 0 X+2 2 2 X+2 2 0 X+2 X+2 0 X X 2 X X X 2 X 2 2 0 0 0 0 2 0 0 0 2 2 2 2 2 0 0 2 2 0 2 2 0 2 2 0 0 0 0 2 2 2 2 0 0 2 2 2 2 2 0 2 2 2 2 0 2 0 0 0 2 0 2 2 2 2 2 0 0 0 2 0 0 0 2 0 0 0 2 2 2 2 0 2 0 2 0 0 0 0 0 2 0 0 0 2 0 2 2 2 0 0 2 2 2 2 0 0 0 2 0 0 0 0 2 0 2 2 2 0 2 2 2 0 2 0 0 2 0 2 0 0 2 0 2 2 2 0 0 2 2 0 2 0 0 2 2 0 0 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 2 0 0 2 2 2 0 0 2 0 2 2 2 0 2 0 0 0 2 2 0 2 0 2 0 2 2 2 0 0 2 2 2 2 0 2 2 2 2 2 0 2 2 0 2 0 0 0 2 2 2 2 0 0 0 0 2 2 2 2 0 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 0 0 0 2 2 0 0 2 0 2 0 2 0 0 2 2 0 2 2 2 2 2 2 0 0 2 0 2 0 0 2 0 0 0 2 0 0 0 0 2 2 2 2 0 2 0 2 2 generates a code of length 74 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+187x^64+8x^65+370x^66+48x^67+564x^68+180x^69+698x^70+348x^71+857x^72+420x^73+934x^74+444x^75+900x^76+380x^77+578x^78+180x^79+453x^80+36x^81+284x^82+4x^83+187x^84+60x^86+42x^88+20x^90+4x^92+3x^96+1x^100+1x^104 The gray image is a code over GF(2) with n=296, k=13 and d=128. This code was found by Heurico 1.16 in 7.21 seconds.