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 X 2 1 0 X 0 1 1 1 1 X 1 X 0 1 1 1 2 0 X X 1 1 1 1 1 1 0 1 2 0 X 1 1 1 2 X 0 1 1 2 2 1 0 X 0 0 0 X X+2 X 0 2 2 X X+2 X X 0 0 0 2 X+2 X+2 2 X+2 X X+2 0 0 X 2 0 X X X+2 X X 0 2 X X X 0 0 2 X 0 2 X 0 2 2 2 X X+2 X+2 X X X 0 0 2 X+2 0 2 X X+2 X 2 X X X+2 X+2 X 0 X X+2 X 2 0 X X 0 0 0 X 0 X X X+2 0 0 0 X X X 0 2 X+2 X 0 2 2 0 0 X+2 2 X X+2 2 X+2 X X 0 X+2 2 0 0 0 X+2 2 X+2 X 0 X X+2 X 2 0 X 2 X 0 X+2 X X+2 0 X X+2 2 X X+2 X+2 X+2 X+2 X X X+2 X+2 X 0 X+2 2 2 X X+2 X+2 X 0 2 2 X X+2 X 0 0 0 X X 0 X+2 X 2 X 2 0 X 2 X+2 X 2 2 X X+2 2 X 0 X X+2 X+2 0 2 2 X+2 2 X 2 0 X+2 0 X X+2 2 2 X+2 2 X X 2 X 2 X 0 2 X+2 X X 0 X+2 0 0 0 X+2 0 0 0 2 0 0 X X 2 X 0 2 2 0 X+2 0 X+2 2 0 0 0 X 0 0 0 0 2 0 0 0 2 2 2 2 2 0 0 2 2 0 2 2 0 2 2 0 0 0 0 2 2 2 2 0 2 2 0 2 2 2 0 0 0 0 0 2 0 2 0 0 2 0 0 0 0 2 2 0 2 0 0 0 0 0 0 2 2 2 2 0 2 2 0 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 2 0 0 2 2 2 2 0 0 0 2 0 0 0 0 2 0 2 2 0 0 2 2 2 0 2 0 0 2 2 0 2 0 2 2 0 0 0 2 2 2 0 0 2 2 2 0 0 2 2 2 2 2 2 0 2 2 0 2 2 0 0 0 0 2 2 2 0 0 0 0 0 0 0 2 0 2 0 0 2 2 2 0 0 2 0 2 2 2 0 2 0 0 0 2 2 0 2 0 2 2 0 2 0 2 0 0 2 2 0 2 2 2 2 2 2 0 2 2 2 0 0 2 2 0 2 0 2 0 2 2 0 2 2 0 0 2 2 2 0 0 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 0 0 0 2 2 0 2 0 0 2 2 2 2 2 2 2 2 2 2 2 0 0 2 2 2 2 0 0 2 2 2 0 0 0 0 2 0 0 2 2 0 2 0 0 0 0 0 0 0 0 2 2 0 0 0 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+59x^70+94x^71+161x^72+254x^73+282x^74+290x^75+349x^76+456x^77+530x^78+618x^79+688x^80+692x^81+723x^82+674x^83+539x^84+456x^85+296x^86+254x^87+229x^88+134x^89+103x^90+90x^91+59x^92+48x^93+40x^94+26x^95+17x^96+8x^97+10x^98+2x^99+5x^100+2x^102+1x^106+1x^114+1x^118 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 7.72 seconds.