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 X 2 X 1 1 1 2 1 0 0 X 1 X X 1 0 1 0 1 0 1 2 1 2 1 1 0 1 X 1 1 1 X 1 X 2 1 1 0 X 1 1 2 X 0 0 0 X 0 X 0 0 X X+2 0 2 X 0 X+2 2 X+2 X X+2 0 X 0 X 2 0 X X 0 X+2 X X 0 2 0 2 0 2 X X X 2 0 2 X X+2 0 0 0 X X+2 X+2 X+2 X X+2 X X X 0 X X+2 X X X+2 2 X+2 2 0 0 2 X+2 2 0 0 X+2 X+2 X X+2 2 0 X X+2 0 X 0 0 X X 0 X+2 X 0 0 X X 2 2 X+2 X 2 0 0 X 0 X X X+2 0 X+2 X+2 X 2 X+2 0 0 X+2 X+2 0 2 X X+2 X+2 X X X+2 X X X X X+2 X 0 2 0 2 X 0 0 2 X X 2 X X+2 X X X+2 X 0 X+2 X X+2 0 X+2 X X+2 2 X+2 X+2 2 0 0 0 X 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 2 0 0 2 2 0 0 2 2 2 0 2 2 2 0 0 2 0 0 2 2 0 2 2 0 2 2 0 0 0 2 0 2 2 2 2 2 0 2 2 0 2 2 0 0 2 2 0 2 0 2 2 2 2 2 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 2 0 2 0 2 2 2 2 2 2 0 0 0 0 0 2 2 2 0 0 2 2 0 2 0 2 0 2 2 2 0 2 0 0 2 2 2 2 2 0 2 0 0 0 0 2 0 2 0 0 2 2 0 0 0 2 0 0 2 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 2 2 0 2 0 2 0 2 2 0 0 2 2 2 0 2 0 0 2 2 0 2 2 0 2 2 0 2 0 2 2 0 0 2 2 0 0 0 2 2 2 2 2 2 2 2 0 0 0 2 2 2 2 0 0 2 2 2 2 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 2 2 2 2 2 0 0 0 0 0 2 0 2 2 2 2 2 0 2 2 2 2 0 0 2 0 2 0 2 2 0 2 2 2 0 2 0 2 2 0 0 0 2 2 0 2 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 0 0 2 0 0 2 2 0 2 0 2 2 2 2 0 0 2 2 2 2 2 2 2 0 0 2 2 0 0 0 0 2 2 2 2 0 0 0 0 0 0 2 0 0 2 0 0 2 0 2 0 2 2 0 2 0 2 0 2 2 0 2 2 2 0 2 2 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 0 2 2 0 0 0 2 2 2 2 2 0 0 2 2 0 2 2 0 0 0 0 0 0 2 2 0 0 0 2 0 2 2 0 2 0 2 2 2 2 2 0 2 0 0 0 2 2 2 0 0 0 2 0 0 0 2 0 2 0 2 0 2 2 generates a code of length 81 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 70. Homogenous weight enumerator: w(x)=1x^0+134x^70+4x^71+249x^72+40x^73+482x^74+116x^75+649x^76+240x^77+794x^78+392x^79+840x^80+448x^81+896x^82+392x^83+718x^84+272x^85+503x^86+116x^87+428x^88+24x^89+179x^90+4x^91+145x^92+68x^94+32x^96+10x^98+8x^100+5x^102+1x^104+1x^106+1x^112 The gray image is a code over GF(2) with n=324, k=13 and d=140. This code was found by Heurico 1.16 in 13 seconds.