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 1 X 1 1 1 1 X 1 X 1 0 1 1 0 1 0 1 0 1 1 1 1 2 1 1 2 1 X X 1 2 X 1 1 1 1 0 X 0 X 0 0 X X+2 0 2 X+2 X 0 X X 0 2 X X+2 2 0 2 X 2 X 0 2 X X+2 0 X+2 X+2 2 2 2 X+2 X X 2 2 2 2 2 X+2 X+2 X X+2 0 X 2 0 2 X 0 X 0 X X X+2 0 X X+2 X+2 X+2 2 X X+2 X 0 X+2 X 0 0 X X 0 X+2 X 0 2 X 0 X 0 X+2 2 X+2 X X 2 2 2 X 0 2 X+2 0 X+2 0 0 X+2 X X 2 0 X 0 X X X+2 0 0 X 0 2 X+2 2 2 0 0 X+2 X X 0 X+2 2 X X+2 X+2 X+2 0 0 2 2 2 X+2 X 2 X+2 X 2 2 0 0 0 2 0 0 0 0 2 2 2 0 2 0 2 0 0 2 2 0 2 0 0 0 2 2 0 0 2 2 2 0 0 2 2 0 2 0 0 0 0 0 2 0 2 2 2 0 0 0 2 2 0 2 0 2 2 0 2 2 2 0 2 0 2 2 0 0 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 0 2 2 0 2 2 0 2 2 0 2 2 0 2 2 2 0 0 2 2 2 0 0 2 0 0 2 0 2 0 2 2 0 0 0 2 0 2 0 2 2 0 2 0 2 0 2 2 0 2 0 0 0 0 0 0 2 0 0 0 2 0 2 2 2 2 2 2 0 2 0 0 0 0 2 2 0 0 2 2 0 2 0 2 2 0 0 0 0 0 0 2 2 0 0 2 0 2 0 0 2 0 2 2 2 0 2 0 2 0 0 0 2 2 0 2 0 0 0 2 0 2 0 0 0 0 0 0 2 0 2 2 2 2 2 2 2 0 0 0 2 0 2 0 0 0 0 2 0 0 2 2 0 2 0 2 2 2 0 0 2 2 2 2 0 2 2 0 0 2 0 2 0 2 0 0 2 0 2 0 2 0 2 2 2 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 2 2 2 0 0 2 2 2 2 0 2 0 2 0 2 0 0 0 2 2 0 2 2 0 0 2 0 0 2 2 2 2 2 0 0 2 2 0 0 0 0 2 0 2 2 2 2 0 0 2 0 0 0 0 2 0 2 generates a code of length 71 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 62. Homogenous weight enumerator: w(x)=1x^0+118x^62+217x^64+8x^65+279x^66+128x^67+468x^68+200x^69+542x^70+320x^71+501x^72+280x^73+365x^74+64x^75+230x^76+24x^77+145x^78+94x^80+75x^82+21x^84+10x^86+3x^88+1x^90+1x^94+1x^116 The gray image is a code over GF(2) with n=284, k=12 and d=124. This code was found by Heurico 1.16 in 20.7 seconds.