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 X 0 1 1 X 1 1 0 1 X 1 0 1 0 1 X 1 X 1 0 1 1 1 0 X X 0 X 1 1 0 2 0 1 1 1 X 1 1 0 X 0 X+2 0 X+2 0 X+2 0 X+2 2 X+2 0 X+2 0 X+2 2 X+2 2 X 0 X X+2 2 2 2 0 0 X+2 X X+2 X X X X+2 X+2 0 X 0 X+2 X+2 X X+2 X 0 X+2 X X+2 0 X 0 2 2 X X+2 X+2 X X 2 X+2 X X X 0 X+2 X+2 X+2 X+2 X 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 2 2 0 2 2 2 2 2 2 0 0 2 2 0 0 2 0 2 0 0 0 2 2 0 2 0 0 2 0 0 2 2 0 0 2 0 0 2 2 0 2 2 0 0 0 2 2 0 2 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 0 0 2 2 0 0 0 0 0 2 2 2 2 0 0 2 2 2 0 2 0 0 0 0 0 2 2 2 2 2 0 0 2 2 2 2 2 2 0 2 0 0 0 2 2 0 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 0 0 2 2 2 0 2 2 0 0 2 2 0 0 2 2 2 0 0 2 2 2 0 0 0 0 0 2 0 2 2 0 0 2 0 0 0 2 2 0 2 2 2 2 2 0 0 2 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 0 2 0 2 2 0 2 2 0 0 0 2 0 0 2 0 2 0 2 0 0 2 0 2 2 0 0 0 2 2 0 2 0 0 2 2 0 0 0 2 0 2 0 0 2 0 2 2 2 0 0 2 2 0 2 2 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 2 2 2 0 0 0 2 0 2 2 2 2 0 2 0 2 0 2 2 0 0 2 2 2 0 0 2 2 0 2 0 2 0 2 0 2 2 2 2 0 0 2 0 0 0 0 2 0 0 0 2 0 2 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 2 0 2 0 0 2 0 2 2 2 2 2 2 0 2 0 0 0 0 2 0 2 2 2 2 0 2 2 2 0 2 2 0 0 2 0 2 2 0 0 2 2 0 2 0 2 0 2 2 0 2 0 2 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 2 2 2 2 2 0 2 0 0 2 0 0 2 0 2 2 0 0 0 0 0 2 0 2 0 2 2 2 0 2 2 2 2 2 0 0 2 2 0 2 0 0 0 2 0 2 2 2 0 0 0 0 2 generates a code of length 69 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 60. Homogenous weight enumerator: w(x)=1x^0+163x^60+4x^61+152x^62+64x^63+363x^64+112x^65+380x^66+192x^67+528x^68+280x^69+444x^70+192x^71+455x^72+112x^73+244x^74+64x^75+202x^76+4x^77+60x^78+38x^80+33x^84+7x^88+1x^92+1x^100 The gray image is a code over GF(2) with n=276, k=12 and d=120. This code was found by Heurico 1.16 in 3.18 seconds.