The generator matrix 1 0 1 1 1 2 X 1 1 1 X+2 1 1 1 X+2 1 1 X+2 1 1 2 1 1 2 1 1 2 1 1 2 0 X+2 1 1 1 1 2 X+2 1 1 X 0 1 1 1 1 1 X+2 1 X 1 1 0 2 X+2 X X X+2 0 X 0 X+2 X X+2 0 2 2 0 0 0 1 0 1 1 1 0 1 1 X+2 X+3 1 1 X+1 X 3 1 2 X X+1 1 X X+1 1 0 1 1 0 1 1 0 X+3 1 X+2 1 1 1 1 2 X X+1 3 1 1 2 X 1 X 0 1 X+1 1 X+1 1 X+2 2 X+2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 2 1 2 0 0 0 0 X 0 X+2 X X 2 X 2 0 X X+2 2 0 0 X X+2 0 X+2 0 X+2 2 X+2 0 X X 0 X X+2 0 2 X+2 X+2 0 2 0 2 X+2 X+2 X 2 2 X 2 0 X X+2 2 X X+2 0 X+2 0 2 0 X+2 X+2 X X X+2 0 2 X 2 X+2 2 0 2 X 2 2 0 0 X+2 0 0 0 2 0 2 2 2 0 2 0 2 0 0 2 2 2 0 0 2 2 2 0 0 2 0 0 0 2 2 0 2 0 2 2 2 2 0 0 2 2 2 2 0 0 0 2 0 0 0 2 2 2 0 2 2 0 2 0 0 0 2 2 2 0 0 2 2 2 0 0 0 0 2 2 0 0 0 0 2 2 0 0 2 2 2 2 0 2 2 2 0 0 2 2 0 0 0 2 2 0 0 2 0 0 2 0 2 0 2 0 2 0 0 2 2 0 0 2 0 2 2 2 0 0 2 2 0 2 2 2 0 2 2 0 2 0 0 2 2 0 0 0 0 0 0 0 0 0 2 generates a code of length 75 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 70. Homogenous weight enumerator: w(x)=1x^0+35x^70+80x^71+134x^72+164x^73+159x^74+132x^75+67x^76+16x^77+38x^78+64x^79+50x^80+44x^81+3x^82+12x^83+2x^84+9x^86+12x^90+1x^100+1x^112 The gray image is a code over GF(2) with n=300, k=10 and d=140. This code was found by Heurico 1.16 in 0.328 seconds.