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 X 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 2X+2 1 1 1 1 X 1 1 2X+2 1 1 1 X 1 X X 0 2X 0 0 0 0 0 0 0 2X 0 0 0 2X 2X 0 2X 2X 0 0 2X 0 2X 0 0 0 2X 2X 0 2X 2X 0 2X 0 2X 0 2X 2X 0 2X 0 2X 2X 0 0 2X 0 0 2X 0 0 2X 2X 0 2X 0 0 2X 0 0 2X 2X 2X 2X 0 2X 2X 0 2X 0 2X 0 0 0 0 2X 0 0 0 0 0 0 2X 0 0 2X 2X 0 2X 2X 0 0 2X 2X 0 0 0 2X 2X 2X 2X 2X 0 2X 2X 0 2X 0 0 0 0 0 2X 2X 2X 2X 2X 2X 2X 0 2X 0 2X 0 2X 0 0 0 0 2X 2X 2X 0 2X 0 0 2X 2X 0 2X 2X 0 0 0 0 2X 0 0 0 2X 0 0 0 0 0 2X 0 2X 2X 2X 2X 2X 0 2X 0 0 0 2X 0 0 2X 0 0 2X 2X 0 0 0 2X 0 2X 2X 2X 0 0 2X 2X 2X 0 2X 2X 2X 2X 0 2X 0 2X 0 2X 2X 0 0 0 0 0 0 2X 2X 0 2X 0 0 0 2X 2X 0 0 2X 2X 0 0 0 0 2X 0 0 0 0 2X 0 2X 0 0 2X 2X 2X 0 2X 0 2X 0 0 2X 0 2X 0 2X 0 0 0 2X 2X 0 0 2X 0 2X 0 0 2X 0 2X 2X 0 0 2X 2X 0 2X 0 2X 0 2X 2X 2X 0 0 2X 2X 2X 2X 0 0 2X 2X 0 2X 2X 2X 0 2X 2X 0 0 0 0 0 2X 0 0 0 2X 2X 0 2X 0 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 0 0 0 0 0 0 2X 0 0 0 2X 2X 0 2X 2X 2X 2X 2X 0 2X 2X 2X 0 2X 0 2X 2X 0 0 0 2X 0 2X 2X 2X 2X 0 2X 0 0 0 2X 0 0 2X 0 2X 2X 0 0 0 0 0 0 0 2X 0 2X 2X 2X 0 0 2X 0 0 0 2X 0 2X 2X 2X 0 0 0 2X 0 0 2X 0 0 2X 2X 2X 0 2X 0 2X 2X 0 2X 2X 2X 0 2X 2X 0 0 2X 2X 0 0 2X 2X 0 0 2X 0 2X 2X 2X 0 0 0 0 2X 2X 2X 2X 2X 0 2X 0 0 0 0 0 0 0 0 2X 2X 0 2X 0 2X 2X 2X 0 2X 2X 0 2X 0 0 0 2X 0 0 2X 0 0 2X 0 2X 0 2X 2X 0 0 2X 0 2X 2X 2X 0 2X 0 0 2X 0 2X 2X 0 2X 0 2X 2X 2X 0 0 0 2X 2X 0 0 2X 0 2X 0 2X 0 0 2X 0 2X generates a code of length 73 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+33x^66+58x^68+81x^70+128x^71+117x^72+1280x^73+104x^74+128x^75+58x^76+17x^78+7x^80+7x^82+4x^84+9x^86+9x^88+5x^94+1x^96+1x^128 The gray image is a code over GF(2) with n=584, k=11 and d=264. This code was found by Heurico 1.16 in 97.2 seconds.