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 2 1 0 X 1 1 1 0 1 X 1 1 X 1 1 X X 1 0 1 2 1 X 1 1 1 2 1 X 1 1 2 2 1 0 X 0 X 0 0 X X+2 0 2 X+2 X 0 X X 0 2 X X+2 2 0 2 X 2 X 0 2 X X+2 0 X+2 X+2 2 2 2 X+2 X 2 2 X 2 0 X+2 X 2 X+2 0 X+2 2 X+2 2 2 0 2 X+2 X 2 0 X+2 2 2 X X+2 X X 0 2 2 2 0 0 X 2 0 0 X X 0 X+2 X 0 2 X 0 X 0 X+2 2 X+2 X X 2 2 2 X 0 2 X+2 0 X+2 0 0 X+2 X X 2 X 0 0 X X+2 2 X+2 0 X 2 X+2 X+2 2 X X X X 2 X 2 2 0 X X X 0 X X+2 X 0 X X+2 X X+2 X+2 2 0 X X+2 X 0 0 0 2 0 0 0 0 2 2 2 0 2 0 2 0 0 2 2 0 2 0 0 0 2 2 0 0 2 2 2 0 0 2 2 0 0 0 2 2 0 0 0 2 0 2 2 2 0 0 0 2 0 2 0 0 2 2 0 0 2 2 0 2 0 0 2 2 0 0 2 2 2 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 0 2 2 0 2 2 0 2 2 0 2 2 0 2 2 2 0 2 0 0 2 0 2 2 0 2 2 2 2 0 0 0 2 2 2 0 0 2 2 2 2 2 0 0 0 0 2 0 2 2 2 2 0 0 0 0 0 0 2 0 0 0 2 0 2 2 2 2 2 2 0 2 0 0 0 0 2 2 0 0 2 2 0 2 0 2 0 2 0 0 0 0 0 2 2 0 0 2 2 0 2 0 0 2 0 2 2 0 0 2 2 0 2 2 0 0 2 0 2 2 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 2 0 0 0 2 0 2 0 0 0 0 2 0 0 2 2 0 2 0 2 2 2 0 2 0 0 2 2 2 2 2 0 0 2 0 0 2 2 0 0 0 2 0 0 2 2 2 2 2 2 2 0 0 0 2 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 2 2 2 0 0 2 2 2 2 0 2 0 2 0 2 0 0 0 2 0 2 2 0 0 2 2 0 0 2 0 2 2 2 2 0 2 0 0 2 2 2 2 2 2 0 0 0 2 2 0 2 2 0 0 0 2 2 0 2 generates a code of length 73 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+124x^64+4x^65+208x^66+40x^67+310x^68+128x^69+416x^70+216x^71+549x^72+248x^73+500x^74+216x^75+441x^76+128x^77+170x^78+40x^79+137x^80+4x^81+98x^82+77x^84+14x^86+21x^88+2x^90+3x^92+1x^116 The gray image is a code over GF(2) with n=292, k=12 and d=128. This code was found by Heurico 1.16 in 1.77 seconds.