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 X 0 X 0 1 1 1 1 X X 0 1 0 1 1 1 1 1 1 X 1 1 1 0 X 0 1 1 1 X 1 1 0 X 1 2 1 1 1 1 0 X 0 X+2 0 X+2 0 X+2 0 X+2 2 X+2 0 X+2 X 0 2 0 0 2 X+2 X+2 X+2 X X+2 X X+2 X X 0 0 X+2 X+2 X+2 X X X 0 2 X+2 X+2 X+2 2 X+2 0 X+2 0 X X+2 X X 0 2 X+2 X 2 X X+2 X X X+2 X+2 X X+2 0 0 2 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 0 0 0 2 2 0 0 2 2 2 2 2 0 0 2 0 2 0 2 2 0 2 2 2 0 2 2 0 2 2 2 2 2 2 0 0 2 0 2 2 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 0 0 0 0 0 0 2 2 0 2 0 2 0 0 2 2 2 2 0 2 0 0 2 2 0 2 0 2 2 2 0 0 2 0 2 2 0 0 2 0 2 0 2 0 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 0 0 0 0 0 2 0 2 0 0 2 2 2 0 0 2 2 2 2 0 2 2 2 0 0 0 2 0 0 0 2 2 0 2 2 2 2 0 2 0 2 0 2 0 0 0 0 0 0 2 0 0 0 2 0 2 0 0 2 0 0 2 2 2 0 2 0 2 2 2 0 0 0 2 0 2 0 2 0 2 0 0 0 0 2 2 2 2 0 2 2 2 0 0 0 0 0 2 2 2 0 0 0 0 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 2 0 0 0 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 0 2 2 0 2 2 2 2 2 2 2 2 0 2 0 0 2 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 0 0 0 2 2 2 2 2 0 0 2 2 0 2 0 2 2 2 0 2 2 2 0 0 2 0 0 0 0 2 0 0 0 2 2 2 2 2 0 2 0 2 2 2 0 0 2 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 2 0 2 2 2 0 2 0 0 0 0 0 0 2 2 0 0 2 2 0 0 0 2 2 2 0 0 0 2 2 2 2 0 0 0 0 2 2 0 0 0 2 2 0 2 2 2 2 0 generates a code of length 64 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+43x^54+155x^56+302x^58+452x^60+698x^62+861x^64+687x^66+426x^68+265x^70+125x^72+28x^74+16x^76+16x^78+9x^80+7x^82+2x^84+2x^86+1x^96 The gray image is a code over GF(2) with n=256, k=12 and d=108. This code was found by Heurico 1.16 in 1.52 seconds.