The generator matrix 1 0 1 1 1 X+2 1 1 2 1 X 1 1 1 X+2 1 1 0 1 1 2 1 X 1 1 1 0 1 1 1 X+2 2 1 1 0 1 X 1 1 1 1 0 1 X+2 1 1 X 1 X 2 1 1 1 1 1 X 0 1 1 1 2 1 0 1 1 2 X 1 0 0 1 0 2 0 1 0 0 1 X 1 X 0 1 1 0 X+3 1 X X+1 1 3 1 X+2 0 X+3 1 X+2 1 1 2 X+1 1 X+2 1 X+1 X+1 0 1 3 0 X 1 1 3 2 1 3 1 0 X+3 X X 1 1 1 X+1 X 1 X+1 1 1 1 0 0 X+1 X+2 1 1 0 1 X X 3 X 0 2 1 X+2 1 2 1 X X 1 X X+2 1 1 1 1 X 0 0 0 X 0 X+2 0 0 X 0 X+2 0 0 X 2 X+2 X 0 X X 2 X+2 X X 2 X 2 0 2 2 0 2 2 0 0 X 0 0 X+2 0 0 X+2 X+2 X X+2 X+2 X+2 X+2 2 X 2 X+2 X 0 X 0 2 2 2 2 0 X X 2 X+2 X+2 0 X+2 X X 2 2 2 2 X+2 X+2 X+2 X+2 X 2 2 0 0 0 0 X 0 0 X X X X X+2 2 X X+2 X+2 X X X 0 0 2 0 2 0 2 X 0 2 0 X+2 2 X+2 2 X+2 2 X 0 X X+2 0 0 2 0 0 X+2 2 2 0 X X+2 X+2 X+2 0 X+2 2 2 2 X+2 2 0 X+2 2 X 0 0 X+2 2 X X+2 X+2 X X+2 X+2 2 X+2 X X+2 2 2 2 2 0 0 0 0 2 0 0 0 0 0 2 2 2 0 0 2 2 0 2 0 2 0 0 2 2 2 0 0 0 2 0 0 2 0 2 2 2 2 2 2 0 0 0 2 2 2 2 2 0 2 0 0 2 2 0 2 2 0 2 2 2 0 0 2 0 0 0 0 0 0 2 2 0 0 0 2 2 0 2 0 0 0 0 0 0 0 2 0 0 2 2 2 0 2 2 2 0 0 0 2 0 2 2 2 2 0 2 0 0 2 2 0 2 0 0 2 0 0 2 2 0 0 2 0 0 2 2 0 2 2 0 0 0 0 0 2 2 2 0 0 2 2 0 0 0 0 0 0 2 2 2 0 0 2 2 0 0 2 0 0 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 2 2 2 0 0 0 2 2 2 2 2 2 2 2 0 2 2 2 2 2 2 2 0 2 2 0 0 0 2 2 2 0 0 2 0 2 2 2 2 0 2 2 0 0 2 2 0 0 0 0 0 0 0 2 2 2 2 0 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 0 2 0 2 2 0 2 0 2 2 2 0 2 2 2 2 2 0 0 0 2 2 0 2 2 0 0 0 0 2 2 2 2 2 2 2 0 2 0 0 0 0 0 0 2 0 0 2 2 2 0 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+109x^70+56x^71+355x^72+272x^73+587x^74+588x^75+871x^76+956x^77+1082x^78+1328x^79+1182x^80+1608x^81+1211x^82+1544x^83+1045x^84+1040x^85+750x^86+536x^87+438x^88+200x^89+254x^90+44x^91+159x^92+20x^93+82x^94+37x^96+19x^98+3x^100+1x^102+3x^104+1x^106+2x^108 The gray image is a code over GF(2) with n=324, k=14 and d=140. This code was found by Heurico 1.16 in 20.2 seconds.