The generator matrix 1 0 1 1 1 X+2 1 1 2 1 X 1 1 1 0 1 1 X+2 1 X 1 1 2 1 1 X 1 1 X 1 1 X+2 1 2 1 0 1 1 X+2 2 1 1 1 0 1 1 1 0 1 X 1 0 X+2 1 1 X 1 2 1 X+2 1 1 1 1 2 1 X 1 0 1 1 1 1 1 X X+2 1 1 1 2 0 1 1 0 X+3 1 X X+3 1 3 1 0 2 X+1 1 1 X+2 1 3 1 X X+1 1 X+2 X+2 1 3 X+3 1 X+2 3 1 X 1 X+1 1 X 2 1 1 3 X+1 2 1 X+2 2 X 1 X+3 1 X+1 1 1 X+1 X 1 X+2 1 2 1 1 X+2 X+2 3 1 3 1 X+3 1 0 X+3 X+2 1 X 2 1 X+1 X 0 2 0 0 X 0 X+2 0 0 2 2 0 2 X X+2 X+2 X X+2 X X 0 X 2 0 X+2 2 X 0 X+2 X+2 2 X+2 0 X+2 0 0 0 X+2 2 X+2 X+2 2 2 2 2 X X 2 X X X+2 X 0 0 X X 0 2 2 X X+2 0 0 0 X X+2 2 2 2 X 2 0 X+2 X+2 2 X X X+2 X+2 2 X X 0 0 0 X 0 0 X X+2 X+2 2 X X 0 X X X+2 X+2 2 X+2 X 0 0 2 2 0 2 X 2 X+2 X 0 2 X X+2 2 2 X X+2 X+2 2 2 X X+2 X 2 0 2 0 2 X+2 X X+2 0 X X 0 0 X+2 2 0 X 0 0 0 X+2 2 0 X+2 X 0 X X X 2 2 X+2 X+2 X 0 X 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 0 2 2 2 0 2 0 2 2 2 0 0 2 2 0 2 0 2 0 0 2 0 2 2 0 2 2 0 2 2 2 2 2 2 0 2 0 2 2 2 0 0 0 0 2 0 0 2 0 2 0 0 0 2 0 0 0 2 0 2 0 2 0 2 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 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 2 2 2 2 2 2 2 2 2 0 2 0 0 0 2 2 0 0 0 2 2 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 2 0 0 2 2 2 2 2 0 2 0 0 0 0 2 2 2 2 0 0 2 2 2 0 0 2 0 0 2 2 2 2 2 0 0 2 0 2 0 0 0 0 2 0 0 2 2 2 2 0 0 2 2 2 0 2 2 0 0 0 0 2 2 2 2 2 0 generates a code of length 80 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 71. Homogenous weight enumerator: w(x)=1x^0+84x^71+165x^72+206x^73+466x^74+366x^75+701x^76+420x^77+856x^78+484x^79+906x^80+522x^81+815x^82+406x^83+589x^84+310x^85+351x^86+138x^87+166x^88+52x^89+49x^90+44x^91+17x^92+22x^93+19x^94+14x^95+14x^96+4x^97+2x^98+2x^102+1x^108 The gray image is a code over GF(2) with n=320, k=13 and d=142. This code was found by Heurico 1.16 in 7.12 seconds.