The generator matrix 1 0 1 1 1 X+2 1 1 0 1 1 X+2 0 1 1 1 X+2 1 1 X 1 1 1 0 1 1 1 0 1 X+2 1 0 1 1 1 X+2 1 1 1 2 1 1 X+2 1 1 X+2 1 0 1 1 0 1 1 1 1 X+2 1 X+2 X 2 1 1 1 X X 1 0 X+2 1 X X+2 X+2 X 0 0 1 X+1 X+2 1 1 0 X+1 1 X+2 3 1 1 0 3 X+2 1 X+1 X+3 1 X 0 3 1 3 2 X+2 1 X+1 1 X+1 1 X+2 3 0 1 X+3 X+2 3 1 X+1 X+2 1 3 X+2 1 0 1 X+1 0 1 X+1 0 X+1 0 1 2 1 1 1 3 X+1 X+3 1 1 X 1 1 X X+2 1 1 1 X 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 2 0 2 0 2 2 2 0 2 2 2 0 2 2 2 2 0 2 0 0 0 0 2 0 2 0 0 2 2 2 0 2 2 2 2 2 2 0 2 0 0 0 2 2 2 2 0 2 2 0 0 0 2 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 2 0 2 0 2 2 2 2 0 0 0 2 2 2 2 0 0 2 0 2 2 0 2 0 2 0 0 2 2 2 0 2 2 2 2 0 0 2 2 0 2 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 2 2 0 2 2 2 0 0 0 2 2 2 2 0 2 0 2 0 2 0 2 0 0 0 0 0 2 0 2 0 0 2 2 2 2 0 0 2 0 2 0 0 0 2 2 0 2 2 2 2 2 0 0 2 0 0 2 2 2 0 2 2 2 0 0 0 0 0 2 0 0 0 0 2 2 2 0 2 0 0 2 2 0 0 2 0 2 2 2 0 0 2 0 0 2 0 2 2 0 0 2 2 0 2 2 0 0 0 2 2 0 0 2 0 2 0 0 0 2 0 2 2 0 2 0 0 2 2 0 2 2 0 2 2 0 2 0 0 0 0 0 0 0 2 0 0 2 2 0 0 2 2 0 0 2 2 0 2 0 2 2 0 2 0 0 0 0 2 0 2 0 0 2 0 2 0 2 0 0 2 0 2 0 2 2 2 0 0 0 0 2 2 0 0 0 0 0 2 2 0 0 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 2 2 0 2 2 2 0 0 0 2 0 2 0 0 2 0 2 0 0 2 2 0 0 0 2 2 0 2 2 0 2 2 2 0 2 2 2 0 0 2 0 2 0 0 2 2 0 2 0 0 0 0 0 0 0 0 0 2 0 2 2 0 0 2 2 2 0 0 0 2 2 0 0 2 2 2 2 0 2 2 0 2 0 0 2 2 0 2 2 2 2 0 0 0 2 2 2 2 0 2 2 0 0 0 0 0 0 2 0 2 0 2 2 2 0 2 2 2 0 0 0 0 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+106x^64+200x^66+72x^67+608x^68+184x^69+662x^70+296x^71+961x^72+472x^73+1064x^74+472x^75+1037x^76+296x^77+724x^78+184x^79+463x^80+72x^81+160x^82+97x^84+6x^86+35x^88+15x^92+2x^96+3x^100 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 5.2 seconds.