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 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 1 1 X 1 1 X 1 1 0 2X 0 0 0 0 0 0 0 0 2X 0 0 2X 2X 0 2X 0 2X 0 0 2X 2X 0 0 0 2X 2X 0 2X 0 2X 0 2X 0 2X 0 2X 2X 0 0 2X 2X 0 0 2X 0 2X 2X 0 2X 0 2X 0 2X 0 2X 2X 0 2X 2X 0 0 0 0 2X 0 2X 0 0 0 2X 2X 2X 2X 0 0 2X 0 0 0 0 0 0 0 2X 0 2X 2X 0 2X 2X 0 0 0 2X 0 2X 0 2X 2X 2X 2X 2X 0 2X 0 0 0 0 2X 0 0 2X 2X 2X 0 0 2X 0 2X 0 0 2X 0 2X 0 2X 2X 0 2X 2X 2X 0 0 2X 0 2X 2X 2X 0 0 0 0 2X 0 2X 0 2X 0 0 0 0 2X 0 0 0 0 0 0 2X 0 2X 0 2X 0 2X 2X 0 2X 2X 2X 0 0 2X 0 0 2X 2X 0 0 2X 0 2X 2X 0 2X 2X 0 0 0 2X 2X 2X 2X 0 2X 2X 2X 2X 2X 2X 0 2X 2X 2X 2X 2X 0 0 2X 2X 2X 0 2X 2X 2X 0 2X 2X 2X 2X 2X 2X 0 0 0 0 0 2X 0 0 0 0 0 2X 2X 0 0 0 2X 2X 2X 0 0 0 2X 2X 2X 0 2X 0 0 2X 2X 2X 2X 0 0 0 0 2X 2X 0 2X 0 2X 0 0 0 2X 2X 2X 2X 0 0 2X 2X 2X 2X 2X 2X 2X 2X 2X 0 2X 2X 0 0 0 2X 2X 0 2X 0 2X 2X 0 0 0 0 0 0 0 2X 0 0 0 2X 2X 0 0 0 2X 2X 0 2X 2X 0 2X 0 2X 2X 0 0 0 2X 0 2X 2X 0 2X 0 0 2X 2X 2X 2X 0 0 0 0 2X 0 2X 0 0 2X 2X 2X 2X 0 0 2X 2X 2X 0 2X 2X 0 0 0 2X 2X 0 0 2X 2X 2X 2X 2X 0 0 0 0 0 0 0 0 0 2X 0 2X 2X 2X 2X 0 0 2X 0 0 0 0 2X 2X 0 0 0 0 0 2X 2X 2X 0 2X 0 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 0 0 2X 0 2X 2X 2X 2X 0 2X 0 0 2X 0 2X 2X 2X 2X 2X 2X 0 2X 0 2X 2X 0 2X 2X 0 2X 2X 2X 0 0 0 0 0 0 0 2X 2X 0 2X 0 0 0 2X 2X 2X 0 0 2X 0 0 2X 2X 2X 0 2X 0 0 0 2X 2X 2X 0 0 2X 0 2X 0 2X 0 2X 2X 2X 2X 0 0 0 0 0 2X 2X 0 2X 0 2X 0 2X 2X 2X 0 0 2X 0 2X 2X 2X 0 0 0 2X 2X 0 2X 2X generates a code of length 75 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+69x^68+86x^72+96x^74+1536x^75+142x^76+32x^78+48x^80+29x^84+8x^88+1x^144 The gray image is a code over GF(2) with n=600, k=11 and d=272. This code was found by Heurico 1.16 in 0.453 seconds.