The generator matrix 1 0 1 1 1 X+2 1 1 2 1 X 1 1 1 0 1 1 X+2 1 1 2 1 X 1 1 1 1 1 0 2 1 0 1 1 2 1 1 2 X+2 1 1 X X+2 1 2 1 1 1 1 1 1 1 1 1 1 1 X 1 X+2 0 1 X 0 1 1 1 X+2 X+2 X+2 1 1 X 1 0 1 1 0 X+3 1 X X+1 1 3 1 X+2 X+3 0 1 X+2 1 1 2 3 1 X+2 1 3 X+1 X+2 X+3 X 1 1 0 1 X+3 0 1 0 X+2 1 1 X+3 1 1 1 2 1 2 3 X+1 X+3 X 0 X 3 1 X+1 0 X+2 0 1 0 1 X 1 2 3 2 1 1 1 X+3 2 2 0 0 0 X 0 X+2 0 0 X 0 X+2 0 0 0 X X+2 X 2 X X 2 X X X+2 2 X+2 X 2 2 X 2 0 X+2 X+2 2 0 X+2 X X X+2 X X 0 2 0 0 X+2 X X+2 2 2 X X X 0 X 0 0 X+2 X 2 X+2 X 0 0 2 X+2 0 X+2 0 2 0 0 0 0 0 0 X 0 0 X X X X X+2 2 X X X+2 X X+2 X 2 2 0 2 0 2 0 0 0 X+2 X+2 0 2 X X X+2 X X+2 X 0 0 0 0 0 2 2 0 2 X+2 X+2 X 2 X+2 X 0 0 X 2 X+2 X X X X X X X+2 X+2 0 X 2 2 X 0 X 0 0 0 0 0 2 0 0 0 0 0 2 2 0 2 0 2 2 0 2 0 2 0 0 2 2 2 2 0 0 2 2 2 0 2 0 0 0 0 2 0 2 2 2 2 0 2 0 2 0 0 2 2 2 2 2 0 0 0 0 2 2 0 0 0 0 2 0 2 2 2 2 0 0 0 0 0 0 0 2 0 0 2 2 2 0 0 0 2 2 2 0 2 0 2 2 2 2 0 0 0 2 2 2 0 0 2 2 0 2 0 2 2 2 0 0 0 2 2 2 2 0 2 2 2 2 2 0 0 0 2 0 0 0 2 0 0 0 0 0 2 0 2 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 0 2 0 0 2 2 2 2 2 0 0 2 0 0 2 0 0 2 2 0 0 0 2 2 2 0 2 2 2 0 0 0 2 2 2 0 2 2 0 2 0 2 2 2 2 0 0 0 0 0 0 0 0 2 2 2 2 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 2 2 2 2 0 2 2 2 0 2 0 0 2 0 2 2 2 0 0 0 0 0 0 2 2 2 2 2 0 2 0 2 0 2 2 2 0 0 0 2 0 2 2 2 0 generates a code of length 73 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 62. Homogenous weight enumerator: w(x)=1x^0+57x^62+112x^63+179x^64+336x^65+401x^66+776x^67+623x^68+1294x^69+814x^70+1600x^71+1014x^72+1946x^73+1062x^74+1808x^75+844x^76+1208x^77+548x^78+696x^79+304x^80+292x^81+141x^82+120x^83+87x^84+38x^85+42x^86+8x^87+14x^88+2x^89+4x^90+6x^92+4x^93+3x^94 The gray image is a code over GF(2) with n=292, k=14 and d=124. This code was found by Heurico 1.16 in 17.7 seconds.