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 X 0 1 1 X 0 1 1 1 1 X 1 1 1 1 1 0 1 1 1 X 0 1 1 1 1 1 1 X 1 1 0 1 X 1 1 1 0 X X 1 0 1 1 0 2 1 1 1 1 0 X 0 X+2 0 X+2 0 X+2 0 X+2 2 X+2 0 X+2 X 0 2 2 X+2 X+2 0 0 X+2 X 2 X+2 X 2 0 X+2 X X+2 X X 0 X+2 X+2 2 2 X X+2 X X 0 X+2 X+2 X 2 2 2 2 2 0 X+2 X+2 0 X X+2 X+2 X 2 2 X X+2 X+2 X X X+2 X X X 2 X 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 0 0 0 2 2 2 2 0 2 0 0 2 0 2 0 0 2 2 0 2 0 2 2 2 0 2 0 2 0 2 0 0 2 0 0 2 0 0 2 0 2 0 0 2 0 2 0 2 2 0 2 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 0 0 0 0 2 0 0 2 0 0 2 0 0 0 0 2 2 2 0 2 0 0 2 2 0 2 2 0 2 2 0 2 2 2 0 2 0 2 0 2 2 2 2 0 2 2 2 2 2 0 0 2 0 0 2 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 2 0 0 2 2 0 0 2 2 0 0 0 0 2 0 0 0 2 2 2 2 0 2 2 2 2 2 2 0 2 0 2 0 0 2 0 0 2 0 2 0 0 0 2 2 0 0 2 2 2 0 2 0 0 2 2 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 0 2 0 0 0 0 2 2 2 0 2 2 0 0 2 2 0 2 0 2 2 0 0 0 0 2 2 2 0 2 2 2 2 0 0 0 2 0 2 0 0 2 2 2 2 0 0 2 2 2 0 0 0 0 2 2 0 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 2 0 2 2 2 0 0 2 2 2 2 2 2 2 2 2 2 2 2 0 2 0 2 0 2 2 2 0 2 2 2 2 2 2 2 0 2 2 2 2 0 0 0 0 2 2 2 0 0 0 0 0 2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 2 2 2 2 0 2 2 2 0 0 2 2 2 0 0 2 0 2 2 0 0 0 2 2 0 2 0 0 0 0 0 0 2 0 2 2 0 2 0 0 2 0 0 2 2 0 0 2 2 2 0 2 0 2 0 2 0 0 0 2 2 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 2 0 0 0 2 2 2 0 0 2 2 2 0 2 0 0 0 2 2 2 0 2 0 2 0 0 2 2 0 0 0 2 0 0 2 0 2 2 2 2 0 0 2 0 0 0 0 0 2 2 0 2 0 2 0 0 0 2 2 2 generates a code of length 75 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+60x^64+64x^66+4x^67+267x^68+32x^69+256x^70+112x^71+470x^72+224x^73+436x^74+280x^75+508x^76+224x^77+356x^78+112x^79+317x^80+32x^81+156x^82+4x^83+116x^84+12x^86+24x^88+18x^92+8x^96+2x^100+1x^116 The gray image is a code over GF(2) with n=300, k=12 and d=128. This code was found by Heurico 1.16 in 1.93 seconds.