The generator matrix 1 0 1 1 1 0 1 1 X 1 X+2 1 1 1 1 2 1 0 1 1 X+2 1 1 X 1 X+2 1 1 0 1 1 1 1 1 1 X+2 1 0 0 1 1 1 X 1 1 1 1 X 1 X X+2 1 1 0 X 1 1 1 2 1 1 X+2 0 0 0 1 1 0 1 1 0 X+1 1 X X+3 1 X+2 1 3 X+3 2 1 1 0 1 X+3 X 1 3 0 1 3 1 X+3 0 1 X+1 X+2 X 0 X+1 X 1 0 1 1 0 X+3 X+2 1 X+2 X+3 X+3 X+2 2 1 1 1 X 3 1 2 X 2 2 1 0 2 1 1 0 X X+3 0 0 0 X 0 X 0 0 X+2 0 2 2 X 0 X 0 X X X+2 0 X X 0 0 X+2 X+2 0 X 2 2 2 X+2 X 2 X X+2 0 0 0 2 X+2 2 0 X 2 0 X+2 2 X+2 X+2 0 X 2 X+2 X+2 2 X X 0 X+2 0 X X X+2 X 0 0 0 0 0 0 X X X+2 X 0 X 2 0 X X 0 X+2 0 X X 2 0 X 2 X 2 X+2 X 2 2 X+2 0 X+2 0 0 X X+2 2 X+2 0 0 X+2 X 0 X 0 X+2 0 X X X+2 2 2 0 X 2 X 2 2 0 X 0 0 X+2 X X+2 X+2 X 0 0 0 0 0 2 0 0 0 0 0 0 2 0 2 0 2 2 2 2 0 0 2 0 0 0 0 2 2 0 2 2 0 2 0 0 2 0 2 2 2 0 2 0 0 2 2 2 0 2 2 0 2 2 0 2 0 2 2 0 0 2 2 2 2 2 2 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 2 0 0 2 2 2 2 0 2 2 2 2 2 0 0 2 0 0 2 0 2 2 2 2 0 0 0 2 0 2 2 2 2 0 2 2 2 2 0 2 2 2 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 2 0 2 2 2 0 0 2 2 2 2 0 2 0 2 2 0 2 2 2 2 0 0 2 0 2 0 0 0 2 2 0 2 2 0 0 2 0 0 0 0 0 0 0 2 2 2 2 2 0 2 0 0 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 0 2 2 2 0 2 2 2 2 2 0 0 2 2 0 2 0 2 0 0 2 0 0 0 0 0 0 0 2 2 2 0 0 2 2 0 2 2 2 0 0 2 0 0 0 0 2 2 0 2 2 2 0 0 generates a code of length 67 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+52x^56+76x^57+190x^58+288x^59+343x^60+710x^61+616x^62+1222x^63+855x^64+1822x^65+1020x^66+2048x^67+1109x^68+1812x^69+856x^70+1268x^71+522x^72+600x^73+301x^74+256x^75+151x^76+86x^77+58x^78+38x^79+34x^80+14x^81+24x^82+5x^84+6x^86+1x^90 The gray image is a code over GF(2) with n=268, k=14 and d=112. This code was found by Heurico 1.16 in 16.5 seconds.