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 X 1 1 X 1 1 1 1 1 1 1 1 X 1 1 1 X 1 1 1 1 1 1 X 1 1 1 X 1 X 1 1 X 1 1 2 1 2 X X X 1 1 0 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 0 0 2 2 2 2 0 2 2 0 2 2 0 2 0 2 0 2 0 0 0 0 0 0 2 2 2 0 0 0 0 2 2 2 0 0 2 0 0 2 2 2 2 0 2 2 0 2 2 0 0 2 2 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 2 2 2 2 2 0 2 2 2 0 2 2 2 0 2 2 0 0 0 0 0 2 0 2 2 0 0 2 2 2 0 0 2 0 0 2 2 0 0 2 2 0 2 2 2 2 0 0 0 0 2 2 2 2 2 0 2 0 2 0 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 2 2 2 0 2 2 0 2 2 0 0 0 0 0 0 0 0 2 0 2 2 0 2 2 2 2 2 2 0 0 0 2 0 2 2 0 2 0 2 0 2 2 2 2 0 0 0 0 0 2 0 2 0 2 2 0 2 2 0 2 0 2 0 0 0 2 0 0 0 0 2 0 0 0 0 0 2 0 2 0 2 0 2 0 2 2 2 0 0 2 0 2 2 2 2 2 2 2 0 0 2 2 0 0 0 0 2 2 2 2 2 2 2 2 0 0 2 0 0 0 0 0 2 2 2 0 0 2 0 2 2 2 0 2 2 2 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 2 0 0 2 0 0 2 2 2 2 0 2 0 2 2 0 2 0 0 2 2 2 0 2 2 2 0 0 0 0 2 0 0 0 2 0 2 2 0 0 2 2 0 2 2 0 0 0 2 0 0 2 0 2 0 2 0 0 0 2 2 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 0 2 0 0 0 2 0 0 0 2 2 2 2 2 0 0 2 0 2 0 0 2 0 2 2 2 2 0 0 2 0 2 0 2 2 0 0 0 0 2 0 2 2 0 2 0 2 2 0 0 2 2 2 0 0 2 2 0 2 0 2 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 0 0 2 2 2 0 0 2 2 2 2 0 0 2 0 0 0 2 2 0 0 2 0 0 0 2 0 0 0 0 2 0 2 2 0 0 0 2 0 2 2 0 2 0 0 2 2 2 0 0 2 2 2 2 0 0 0 2 2 2 0 0 0 0 0 0 0 0 2 2 2 0 0 2 2 2 2 2 0 2 0 2 0 2 2 0 2 0 2 2 2 0 2 2 2 2 2 0 2 2 0 2 2 2 2 0 0 2 2 0 2 0 0 2 0 0 2 2 2 0 0 0 2 2 0 0 2 0 0 2 0 2 0 2 0 0 generates a code of length 76 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+42x^66+67x^68+18x^69+63x^70+54x^71+52x^72+84x^73+301x^74+108x^75+557x^76+104x^77+286x^78+72x^79+25x^80+44x^81+27x^82+20x^83+34x^84+6x^85+28x^86+2x^87+18x^88+11x^90+13x^92+5x^94+3x^98+1x^100+1x^102+1x^126 The gray image is a code over GF(2) with n=304, k=11 and d=132. This code was found by Heurico 1.16 in 19.4 seconds.