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 X 1 1 1 2 1 1 1 2 1 1 1 1 1 0 1 1 0 1 X 1 0 1 X 1 0 1 1 1 1 1 1 2 1 2 X X 2 1 1 0 X 0 X 0 0 X X+2 0 2 X X+2 0 2 X X 0 2 X X+2 X+2 0 X 0 X 2 2 X+2 X+2 2 0 X 2 X+2 0 0 2 X+2 X+2 X 0 X 0 X+2 X+2 X 0 2 X+2 X X+2 2 0 0 X+2 2 X+2 X X X X X+2 0 2 0 2 X 2 0 X+2 2 X 2 X X X 0 X X X+2 X+2 0 0 X X 0 X+2 X 0 2 X X 0 2 X+2 X 0 0 X X 0 X+2 2 2 X+2 X+2 2 0 0 X X+2 X 2 X 0 0 X+2 0 2 X X+2 X+2 X+2 0 2 X X+2 X X+2 X+2 X X+2 2 0 2 X+2 X 0 X 0 2 X+2 X+2 X X+2 X+2 X+2 2 X X+2 0 X+2 0 2 0 X+2 X+2 X X+2 X+2 0 2 0 0 0 2 0 0 0 2 2 2 0 0 2 0 2 2 2 2 0 0 2 0 2 2 2 0 2 0 0 2 0 2 0 0 0 0 2 2 2 0 2 0 2 2 0 2 2 0 2 0 0 2 0 0 2 0 0 2 0 0 2 0 0 0 2 2 0 2 2 2 0 0 2 2 2 2 2 0 0 2 2 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 2 2 0 0 2 0 0 0 2 0 0 0 2 2 2 2 0 2 0 2 2 2 0 2 2 2 2 2 0 2 0 2 0 0 2 2 2 2 2 2 2 0 2 0 2 2 2 2 0 2 2 2 2 2 0 2 2 0 0 2 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 0 0 2 2 0 2 2 2 2 2 2 0 0 0 0 0 2 2 2 2 2 0 0 2 0 2 0 0 0 2 2 0 2 2 2 2 2 0 2 2 0 0 2 2 2 2 0 0 0 0 2 0 0 2 2 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 2 2 2 2 0 2 0 2 2 0 2 2 2 0 2 2 2 0 0 2 0 2 0 0 2 0 0 0 0 2 2 2 2 0 2 2 0 0 2 2 2 2 0 0 2 2 0 2 2 0 2 0 0 0 0 0 2 2 0 2 2 0 2 2 2 2 0 0 0 2 0 2 2 2 2 generates a code of length 81 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 73. Homogenous weight enumerator: w(x)=1x^0+36x^73+72x^74+94x^75+102x^76+124x^77+189x^78+176x^79+177x^80+200x^81+205x^82+182x^83+114x^84+110x^85+57x^86+34x^87+44x^88+26x^89+40x^90+20x^91+8x^92+14x^93+9x^94+6x^95+2x^96+2x^97+3x^98+1x^134 The gray image is a code over GF(2) with n=324, k=11 and d=146. This code was found by Heurico 1.16 in 0.77 seconds.