The generator matrix 1 0 1 1 1 0 1 1 X 1 X+2 1 1 1 0 1 1 2 1 1 X 1 1 X+2 0 1 1 0 1 1 1 X+2 1 1 X 1 1 1 1 0 1 2 1 1 1 X X+2 0 0 1 0 1 1 1 1 2 1 1 X 1 1 1 1 1 0 1 1 0 X+1 1 X X+3 1 X+2 1 3 0 X+1 1 2 X+1 1 X 3 1 X+2 1 1 1 0 X+3 1 2 3 X+3 1 X+1 X+2 1 0 X 2 1 1 1 1 X+1 1 X 2 1 1 1 X+1 1 X 2 X+1 X+1 X X 1 1 X+2 X+3 X+1 0 X+1 0 0 X X+2 0 X+2 X X+2 X 0 2 0 2 0 0 X X+2 X+2 X 0 X 2 X 2 2 0 X+2 X X+2 0 X 0 2 2 X+2 X X X X+2 2 X X+2 2 0 X+2 X 2 X X+2 X 0 0 X 0 2 X+2 0 X 0 0 2 2 2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 2 2 0 0 2 0 2 0 2 0 0 0 2 2 2 0 2 0 2 2 0 2 2 0 2 2 0 0 2 0 0 0 0 0 2 2 0 2 0 2 2 0 2 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 2 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 0 2 0 2 2 2 0 2 2 2 0 0 2 2 2 2 0 2 2 2 2 0 0 0 0 0 2 2 2 2 0 2 0 2 2 0 0 0 0 0 2 0 0 0 0 0 2 2 2 0 2 2 2 2 2 2 0 2 0 0 0 2 2 0 0 2 0 2 2 0 0 2 0 2 0 0 0 2 0 0 2 0 2 0 2 2 0 0 2 2 0 0 2 0 0 0 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 0 2 2 0 0 0 2 2 0 2 0 2 0 2 2 2 2 2 2 0 0 2 0 2 2 0 2 2 2 0 0 0 0 0 0 2 0 0 2 0 2 0 2 2 2 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 0 2 0 2 2 2 2 2 2 0 2 2 2 0 2 2 0 2 2 0 2 2 0 0 2 2 2 0 0 0 2 0 0 2 2 0 2 2 0 0 2 0 2 0 2 2 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 0 2 2 0 2 2 0 0 2 0 0 2 0 0 2 2 0 2 0 2 2 2 2 2 2 2 0 2 2 2 0 2 2 2 2 0 0 2 2 0 2 2 0 2 0 0 2 2 2 0 generates a code of length 64 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 53. Homogenous weight enumerator: w(x)=1x^0+26x^53+91x^54+124x^55+247x^56+394x^57+502x^58+824x^59+710x^60+1538x^61+1062x^62+2216x^63+1067x^64+2184x^65+901x^66+1596x^67+824x^68+850x^69+385x^70+328x^71+172x^72+110x^73+112x^74+28x^75+30x^76+18x^77+12x^78+4x^79+16x^80+5x^82+4x^84+2x^86+1x^88 The gray image is a code over GF(2) with n=256, k=14 and d=106. This code was found by Heurico 1.16 in 80.6 seconds.