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 X 1 X 1 1 1 1 1 1 1 1 1 X 1 1 1 1 X 1 1 1 X 1 1 1 1 1 X 1 X 2 1 1 1 1 1 2 X X X X 1 1 0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 2 0 0 0 0 2 2 2 2 0 2 2 0 2 2 0 2 2 0 2 2 2 0 2 2 0 2 0 2 0 0 2 0 2 2 2 2 2 0 0 2 2 2 2 0 2 0 0 0 0 2 2 2 0 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 0 2 2 0 0 0 0 0 0 2 2 0 2 2 0 0 2 2 2 2 2 0 0 0 0 2 2 2 0 0 0 0 2 2 2 2 2 2 2 0 2 2 2 0 2 2 0 0 2 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 2 2 0 2 2 0 2 0 2 2 2 2 0 2 0 2 0 0 0 2 2 2 2 0 0 2 0 2 0 0 2 2 0 2 0 2 2 2 2 2 2 2 2 0 2 2 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 2 2 2 2 2 0 2 0 0 0 0 0 2 2 0 2 2 0 2 2 0 0 2 0 0 2 0 2 2 0 0 2 2 2 2 0 2 0 2 0 0 0 0 0 0 2 0 0 2 2 2 2 0 2 2 0 0 0 2 0 2 2 0 0 0 0 0 2 0 0 0 2 0 0 0 2 2 0 2 0 2 2 2 0 0 2 0 2 2 2 2 2 2 2 0 2 2 0 0 0 2 2 0 0 2 0 0 2 2 0 2 0 2 0 0 0 0 0 0 2 0 0 2 0 2 0 0 2 2 0 2 2 2 0 2 2 2 0 0 0 0 0 0 2 0 0 2 0 0 2 0 0 2 2 2 0 2 2 0 2 2 0 0 2 0 0 0 2 2 2 2 0 0 2 0 2 0 2 0 0 0 0 2 0 2 0 2 2 0 0 2 0 2 0 2 2 2 2 2 2 0 0 2 2 2 2 0 2 0 2 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 0 0 0 0 2 2 2 2 2 0 2 2 0 2 2 2 0 0 0 0 0 2 2 2 0 2 2 2 0 2 2 2 2 0 0 2 0 2 2 0 2 2 0 0 2 0 2 2 0 2 2 2 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 0 0 0 2 0 0 0 2 0 2 0 0 2 2 2 0 0 0 2 0 2 0 2 2 0 0 2 0 2 0 2 2 2 2 2 0 0 0 2 2 2 0 2 0 0 2 2 2 2 0 2 2 2 0 2 0 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+56x^64+2x^66+126x^68+52x^70+180x^72+256x^73+104x^74+512x^75+180x^76+256x^77+76x^78+118x^80+22x^82+46x^84+40x^88+15x^92+5x^96+1x^124 The gray image is a code over GF(2) with n=300, k=11 and d=128. This code was found by Heurico 1.16 in 0.726 seconds.