The generator matrix 1 0 1 1 1 X+2 1 1 0 1 1 X+2 1 1 X+2 1 1 0 1 0 1 1 1 X+2 1 1 0 1 1 X+2 1 1 1 1 1 1 X 1 1 1 X 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X+2 0 X+2 1 2 X+2 1 1 1 1 0 1 0 1 1 2 1 X+2 0 1 X+1 X+2 1 1 0 X+1 1 X+2 3 1 0 X+1 1 X+2 3 1 3 1 0 X+2 X+1 1 X+2 X+1 1 0 2 1 3 X+2 X+2 X+1 X 0 1 1 X+3 2 1 1 0 3 X+1 1 0 2 X+2 2 X+2 0 X 3 2 3 1 1 1 X+3 1 1 1 X X+1 3 0 X+3 X X+3 1 X X 1 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 2 0 2 0 2 2 0 2 2 2 0 2 0 2 2 0 2 2 0 2 2 0 0 0 0 0 2 2 2 0 0 0 0 2 2 0 0 2 2 2 0 2 0 0 2 2 0 2 2 0 2 0 2 2 0 0 0 0 2 0 0 0 0 0 2 0 2 2 0 2 0 2 0 2 0 2 2 0 0 2 0 0 2 0 0 0 2 0 2 0 2 2 2 0 2 2 0 2 2 0 0 2 2 0 2 0 0 2 0 2 0 0 0 2 2 0 0 2 2 0 0 2 2 2 0 0 2 2 2 0 0 0 0 2 0 0 0 0 2 2 0 2 2 0 0 2 2 2 2 0 2 2 0 0 2 0 0 2 0 2 0 0 0 0 2 0 2 0 2 0 2 0 2 2 2 0 0 2 0 2 0 2 2 0 0 2 0 2 2 2 0 2 2 0 0 2 2 2 2 0 2 2 2 0 0 0 0 0 2 0 0 2 0 2 2 0 0 2 2 2 0 0 2 0 2 2 0 2 2 0 0 0 2 0 2 0 0 2 2 2 0 2 2 0 2 2 0 0 0 2 0 2 0 2 0 0 2 2 2 2 2 2 2 2 0 2 0 0 2 0 0 2 0 0 2 0 2 0 0 0 0 0 0 2 0 2 0 0 0 2 0 2 0 2 2 2 2 2 0 0 0 2 2 2 0 2 2 2 2 0 2 0 2 0 0 0 0 0 0 2 0 2 0 0 2 0 2 2 2 2 2 0 2 2 2 2 0 0 2 2 2 0 2 2 2 0 2 0 2 0 2 0 0 0 0 0 0 0 2 2 0 2 0 0 2 2 2 2 0 2 0 0 2 0 2 2 0 2 0 0 0 2 0 2 0 0 0 2 2 0 0 2 2 2 0 0 0 0 2 2 2 2 2 2 2 0 0 0 0 0 0 2 0 2 0 2 2 2 2 0 0 2 0 0 2 generates a code of length 74 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+126x^66+52x^67+266x^68+200x^69+308x^70+256x^71+402x^72+232x^73+403x^74+296x^75+396x^76+280x^77+331x^78+160x^79+172x^80+56x^81+92x^82+4x^83+30x^84+12x^86+7x^88+3x^90+4x^92+3x^94+1x^96+2x^102+1x^104 The gray image is a code over GF(2) with n=296, k=12 and d=132. This code was found by Heurico 1.16 in 41.6 seconds.