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 2X+2 1 1 X 1 1 1 1 1 1 2X 1 1 1 1 1 1 1 1 1 X 1 X 1 1 0 2 0 2 0 2 0 2X+2 2X 2 2 0 2 0 2X 2X+2 0 2 2X 2X+2 0 2 2X 2X+2 0 2 2X 2X+2 2 0 0 2X+2 2X 2X+2 2X 2 2 2 0 2X 2X+2 2X 0 2X+2 2X+2 0 2X+2 2X 2X 2X 2 2 2 2 0 0 2X 0 2X 0 2 2 0 2X 2 2X+2 2X 0 0 2 2X+2 0 2X 0 2X 2X 2 2X 2 2 0 0 0 2X 0 0 0 0 0 2X 0 0 0 0 2X 2X 0 0 0 0 0 2X 2X 2X 2X 0 2X 0 2X 2X 2X 2X 2X 2X 2X 2X 2X 0 2X 0 0 2X 2X 2X 2X 0 0 2X 2X 2X 0 2X 0 0 0 0 2X 0 0 0 0 0 2X 2X 0 2X 2X 0 0 0 2X 2X 0 0 2X 2X 2X 0 0 0 0 0 0 0 0 2X 0 0 0 2X 0 0 0 0 2X 0 0 2X 0 0 0 0 2X 2X 2X 2X 2X 0 2X 0 2X 0 2X 0 2X 2X 0 0 2X 2X 2X 2X 0 0 2X 0 2X 0 2X 2X 2X 2X 2X 2X 0 2X 0 2X 0 2X 2X 2X 0 0 0 2X 0 2X 0 0 2X 2X 0 2X 0 2X 2X 2X 0 0 0 2X 2X 0 0 0 0 2X 0 0 0 0 0 0 2X 0 2X 2X 0 0 2X 2X 2X 0 0 2X 0 2X 2X 0 2X 0 2X 2X 2X 0 0 0 2X 2X 2X 2X 0 0 2X 2X 0 2X 2X 2X 0 2X 0 2X 2X 2X 2X 0 0 0 2X 2X 0 2X 0 0 0 0 2X 0 2X 2X 0 2X 0 0 0 0 2X 0 2X 2X 2X 2X 0 0 0 0 0 2X 0 2X 0 0 2X 0 2X 0 0 0 2X 2X 2X 0 0 0 0 2X 2X 0 2X 2X 0 2X 2X 0 2X 2X 2X 2X 0 2X 0 2X 2X 2X 2X 2X 2X 2X 2X 0 0 0 0 2X 0 0 2X 2X 0 2X 0 0 2X 0 2X 0 0 0 0 2X 0 2X 0 2X 2X 0 2X 2X 0 2X 2X 2X 0 0 0 0 0 0 0 2X 0 2X 2X 2X 2X 2X 0 2X 2X 2X 0 2X 2X 0 0 0 2X 2X 0 2X 2X 2X 2X 2X 2X 2X 0 2X 0 0 2X 2X 0 0 0 0 2X 2X 0 0 2X 2X 2X 2X 0 0 2X 0 0 0 0 0 2X 2X 2X 0 0 0 0 0 2X 0 2X 0 0 0 2X 0 0 0 0 0 0 2X generates a code of length 81 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 74. Homogenous weight enumerator: w(x)=1x^0+16x^74+28x^75+44x^76+34x^77+72x^78+104x^79+581x^80+406x^81+544x^82+76x^83+12x^84+30x^85+8x^86+32x^87+1x^88+26x^89+16x^91+16x^93+1x^152 The gray image is a code over GF(2) with n=648, k=11 and d=296. This code was found by Heurico 1.16 in 0.719 seconds.