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 1 X 1 X X X 1 0 1 1 1 2 1 0 1 1 1 1 X X X 1 X 1 1 0 X X 2 1 X 1 1 0 0 0 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 0 2 X 0 X+2 0 2 X+2 X X X X X+2 2 2 X X+2 2 X 2 2 X X X+2 X X 2 2 X 0 0 0 X X 0 2 X X X X X+2 0 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 X 0 0 X+2 X+2 X+2 2 X X X+2 2 2 0 2 X X X X+2 X+2 X X X+2 0 0 0 X 0 2 X X+2 X+2 X+2 2 X 0 X X X+2 X+2 X+2 0 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 0 2 2 2 2 2 0 2 0 2 2 2 0 0 0 0 0 0 0 2 0 0 0 2 2 0 2 0 2 2 0 0 2 0 0 0 2 2 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 0 2 0 2 0 0 0 2 2 0 0 2 2 2 0 0 2 2 2 2 2 2 2 2 2 0 2 0 2 2 0 2 2 2 2 2 2 2 0 0 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 2 2 0 2 2 0 2 0 0 2 2 0 0 2 0 2 2 2 0 0 0 2 0 0 0 0 2 0 2 0 2 0 0 0 0 2 0 0 0 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 0 2 2 0 0 2 2 0 0 0 2 2 0 0 2 2 2 0 2 2 2 2 0 2 2 2 2 0 0 2 0 0 0 0 0 0 2 0 0 2 0 2 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 0 0 2 0 2 2 0 0 2 2 0 0 2 2 0 2 2 0 2 2 2 0 0 0 0 2 0 2 0 2 2 0 0 0 2 2 2 0 2 2 2 0 generates a code of length 74 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+44x^64+40x^65+89x^66+122x^67+159x^68+242x^69+256x^70+328x^71+321x^72+330x^73+377x^74+338x^75+330x^76+280x^77+196x^78+172x^79+115x^80+104x^81+69x^82+50x^83+37x^84+22x^85+24x^86+12x^87+13x^88+6x^89+9x^90+2x^91+2x^92+3x^94+2x^96+1x^110 The gray image is a code over GF(2) with n=296, k=12 and d=128. This code was found by Heurico 1.16 in 1.7 seconds.