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 X X X X 1 2 1 X X 1 1 X 1 1 1 1 X 2 X X 1 1 X 1 1 1 X X 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 0 2 2 2 0 2 0 2 0 0 2 2 2 2 2 2 2 0 2 2 0 0 2 2 2 2 0 0 2 0 2 2 2 0 0 2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 2 0 0 0 0 0 2 2 2 2 2 0 2 0 2 2 2 0 2 0 0 2 0 0 0 0 0 2 2 0 0 2 2 0 0 0 2 2 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 2 2 2 2 0 2 2 2 0 2 2 2 0 2 0 0 2 2 2 0 0 2 0 2 2 2 2 2 2 0 2 2 2 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 2 2 0 2 2 2 0 2 2 2 0 0 0 0 0 2 0 0 0 2 2 2 0 0 2 2 0 0 0 2 0 2 2 2 0 2 0 0 2 2 2 0 2 0 2 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 2 2 2 2 2 0 0 2 0 0 2 2 0 0 0 2 2 0 0 2 0 0 2 2 2 0 2 2 0 2 0 0 0 0 0 0 2 0 0 2 2 0 2 2 0 2 0 2 0 2 0 0 0 0 0 0 2 0 0 0 2 0 0 0 2 2 0 0 2 0 0 2 2 0 2 0 2 0 2 0 2 0 2 0 2 2 2 0 2 2 0 0 2 2 0 0 2 0 2 2 2 0 2 2 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 2 0 0 2 0 0 2 0 0 2 0 0 2 0 2 2 0 0 2 2 2 0 0 2 2 2 0 0 2 2 2 2 2 2 0 0 2 0 2 0 0 2 2 2 2 0 2 2 0 2 2 0 2 0 0 2 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 0 0 0 2 0 0 0 2 2 2 2 0 0 0 2 0 2 0 0 0 2 2 2 0 2 0 2 2 2 2 0 2 2 0 0 2 2 2 0 0 0 0 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 2 2 0 2 0 2 0 2 0 2 2 0 0 2 2 2 2 0 0 0 0 0 0 2 2 0 2 0 2 2 0 0 2 0 2 2 0 2 2 2 2 2 2 2 2 2 generates a code of length 64 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 52. Homogenous weight enumerator: w(x)=1x^0+52x^52+76x^54+16x^55+103x^56+42x^57+77x^58+114x^59+98x^60+152x^61+618x^62+168x^63+1102x^64+220x^65+570x^66+156x^67+80x^68+88x^69+98x^70+56x^71+55x^72+10x^73+47x^74+2x^75+26x^76+38x^78+17x^80+9x^82+2x^86+2x^88+1x^98 The gray image is a code over GF(2) with n=256, k=12 and d=104. This code was found by Heurico 1.16 in 1.81 seconds.