The generator matrix 1 0 1 1 1 0 1 1 0 1 1 2 1 X+2 1 0 1 X+2 1 1 1 1 1 1 0 X 1 1 0 1 1 2 1 X+2 X 1 1 1 1 1 0 1 X+2 1 1 2 X+2 1 1 1 1 X+2 1 X 1 X+2 1 1 2 0 1 0 X X+2 X X+2 1 1 1 1 1 0 0 1 1 X+2 1 1 X X 1 0 1 1 0 1 1 2 X+1 1 0 X+1 1 X+2 1 X+3 1 3 1 X X X+1 3 3 0 1 1 2 X+1 1 3 X+2 1 0 1 1 X+2 X+1 X+2 1 2 1 3 1 2 1 1 1 X 2 X 1 1 2 1 3 1 X+3 X 1 1 X 1 1 1 1 1 X+2 3 3 X+1 X 1 1 X+2 X+3 1 1 X+2 1 0 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 2 2 2 2 2 2 X X+2 X X+2 X X+2 X X X+2 X+2 X 2 X X X+2 X 2 2 2 X X+2 0 X+2 X+2 2 X X X+2 X X X 0 X X+2 2 X+2 X X 0 X+2 X+2 0 X+2 X 2 0 0 0 X 0 2 X+2 X+2 0 2 X+2 0 0 0 0 X 0 0 0 0 0 X 0 2 0 X X+2 X 2 X+2 2 X X X+2 X X X 0 X+2 2 X X 0 0 X+2 X+2 X+2 X X X 2 2 X+2 0 2 X+2 2 2 2 0 0 0 X 0 0 X 2 X X 0 X X 2 2 2 X 0 0 X X X+2 X+2 X+2 X+2 X+2 2 2 X 0 0 2 0 0 0 0 0 0 X 0 2 X+2 X 2 2 X+2 X X X+2 2 0 2 X+2 X+2 2 0 X X+2 2 X+2 0 X X+2 X 2 0 2 0 X+2 0 2 X X X X 0 0 X+2 X X X X+2 X+2 0 X 2 X+2 2 X+2 0 2 X+2 X+2 0 2 0 2 2 X X+2 2 X X+2 0 X 2 2 2 X 2 2 2 X 2 2 0 0 0 0 0 X X+2 X+2 X+2 X+2 X 0 X 2 X X 2 2 2 X+2 X 0 2 2 2 0 X+2 0 2 X+2 X+2 2 0 X X 0 X X+2 0 X X+2 X+2 X+2 2 X 2 2 2 2 2 2 X X X X X+2 0 0 2 X 0 2 0 2 0 X X X+2 2 X+2 X+2 2 0 0 X+2 X 0 X+2 0 X+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+58x^70+112x^71+183x^72+342x^73+494x^74+666x^75+827x^76+1024x^77+1101x^78+1262x^79+1453x^80+1434x^81+1489x^82+1310x^83+1138x^84+1004x^85+719x^86+550x^87+427x^88+308x^89+167x^90+96x^91+76x^92+42x^93+26x^94+36x^95+20x^96+4x^97+9x^98+2x^100+2x^101+1x^108+1x^114 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 19.2 seconds.