The generator matrix 1 0 1 1 1 X+2 1 1 0 1 1 X+2 1 1 0 1 1 X+2 1 X 1 0 1 1 1 0 1 1 1 X+2 1 1 X+2 1 2 1 X+2 1 0 1 0 X+2 1 0 1 1 X+2 1 2 1 1 1 1 1 1 X 2 2 0 1 1 0 2 X 1 1 X+2 1 X X+2 2 1 1 1 1 1 2 1 2 X 2 2 0 1 X+1 X+2 1 1 0 X+1 1 X+2 3 1 0 X+1 1 X+2 3 1 3 1 X+2 1 X+1 0 X+1 1 X+2 0 3 1 0 3 1 X+1 1 2 1 X+3 1 X+1 1 1 X 1 3 2 1 X+1 1 3 X+2 X+1 X+3 X+2 3 1 1 1 1 X+2 X+1 1 1 1 X 0 1 X+2 1 1 1 1 X X+3 X+2 0 1 1 1 X X 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 2 2 2 0 2 2 0 2 2 2 2 2 2 0 2 2 0 0 0 2 0 2 2 2 0 2 0 2 0 2 0 2 2 0 0 0 2 2 2 0 2 0 0 2 2 0 0 0 0 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 2 0 0 2 2 2 2 2 2 2 2 2 0 2 0 0 2 0 2 2 2 0 2 2 2 2 0 2 2 0 0 2 2 0 0 0 0 2 0 2 0 0 0 0 0 2 2 0 0 2 2 2 0 0 0 2 2 2 2 2 0 0 2 0 2 0 0 2 2 2 2 2 2 0 0 0 0 2 0 0 0 0 2 2 2 2 0 2 0 0 2 0 0 2 2 2 0 2 2 2 2 0 0 2 2 2 2 2 2 0 2 0 2 0 2 0 2 2 0 2 2 2 0 2 2 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 0 0 0 2 0 2 2 0 0 0 2 0 2 0 0 0 0 0 0 0 2 0 0 2 0 2 0 0 2 0 2 2 2 0 0 2 2 2 0 2 0 0 2 2 0 2 2 0 0 2 2 0 0 2 0 2 2 0 0 2 2 2 2 2 2 2 2 2 2 0 2 0 2 0 0 2 0 0 2 0 2 0 0 0 2 0 2 0 2 2 0 2 2 2 2 2 2 0 0 0 0 0 0 2 0 2 0 0 2 2 2 2 0 2 0 2 2 2 2 2 0 0 2 0 2 0 0 0 0 0 0 0 2 2 0 0 2 2 2 2 2 2 2 0 2 2 2 0 2 0 2 2 2 2 0 0 2 0 0 0 2 0 2 0 2 2 2 0 0 2 2 0 2 0 2 2 2 0 2 0 0 0 0 0 0 0 2 2 0 2 2 0 0 0 0 2 0 0 2 0 0 2 2 0 2 2 2 2 2 0 2 2 0 2 0 0 2 2 0 0 2 2 0 2 2 2 2 0 0 2 0 0 0 0 2 2 0 0 0 0 2 2 2 2 2 0 2 2 0 0 0 0 0 2 2 0 2 0 0 0 0 generates a code of length 82 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 73. Homogenous weight enumerator: w(x)=1x^0+42x^73+118x^74+116x^75+223x^76+214x^77+213x^78+308x^79+320x^80+356x^81+325x^82+336x^83+301x^84+308x^85+279x^86+216x^87+141x^88+98x^89+76x^90+44x^91+26x^92+6x^93+9x^94+4x^95+6x^96+1x^98+1x^100+1x^102+3x^104+1x^108+2x^110+1x^112 The gray image is a code over GF(2) with n=328, k=12 and d=146. This code was found by Heurico 1.16 in 18.3 seconds.