The generator matrix 1 0 1 1 1 X+2 1 1 2 1 X 1 1 2 1 2 1 1 X+2 1 1 1 1 X+2 1 1 1 0 2 1 1 1 1 X 1 X 1 1 2 1 1 1 X 2 1 1 1 1 1 X 1 X+2 X 1 1 1 1 1 1 1 2 1 1 1 0 X 1 1 2 2 X+2 1 2 1 X 1 X+2 1 1 1 X 0 0 1 1 0 1 1 X X+3 1 1 1 X+2 X+1 1 2 1 1 X+2 1 0 X+1 X+2 X+1 1 3 X 0 1 1 1 X 3 0 1 3 1 X+3 2 1 X+3 X X+1 1 1 X+2 X+2 X+3 0 3 1 X+3 1 1 X 3 3 X X 0 X+1 1 X+2 3 X+3 1 1 X+2 1 0 1 1 X X X+3 0 0 1 X+3 X X 0 1 0 0 X 0 0 0 0 0 0 2 2 0 0 X X+2 X+2 X X X X X+2 X X X 0 X+2 2 0 X+2 X 0 0 X+2 2 X X+2 X+2 X+2 2 2 0 X+2 2 X X+2 2 0 2 X+2 X+2 X X+2 0 2 X+2 0 2 X X+2 X X+2 X X+2 X X+2 0 X 2 2 X X X X X 2 X+2 X+2 2 X+2 2 0 X+2 0 0 0 X 0 0 X X X X+2 X 2 0 2 0 X X X 2 X 0 0 X+2 X+2 0 X X+2 X+2 2 X 2 X+2 0 2 0 X+2 2 X 2 0 X X X 2 0 X X+2 0 2 X+2 X 0 X+2 0 0 X X+2 X+2 0 2 X 0 X+2 X 0 2 X X X X X 0 2 X+2 X X+2 X 2 X+2 0 X+2 X+2 0 0 0 0 X 0 0 2 2 0 2 2 2 2 2 0 0 0 2 2 2 2 0 2 2 X X X X+2 X X+2 X+2 X+2 X X+2 X+2 X+2 X+2 X+2 X X X+2 X+2 X+2 X+2 X+2 X X 0 X X+2 2 0 0 X X 2 2 2 2 2 0 0 X 0 X+2 2 X 2 X X X 2 X 0 X 2 0 0 0 X 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 0 0 0 2 0 0 2 2 2 2 0 0 2 2 2 2 2 0 0 0 2 2 0 2 2 2 0 0 0 0 2 2 2 0 2 0 2 2 2 2 2 2 0 2 2 2 0 0 2 0 0 2 0 2 2 2 0 2 0 0 0 2 0 0 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+84x^73+183x^74+306x^75+414x^76+464x^77+497x^78+562x^79+634x^80+652x^81+733x^82+700x^83+659x^84+574x^85+444x^86+410x^87+274x^88+180x^89+137x^90+76x^91+55x^92+44x^93+34x^94+20x^95+10x^96+12x^97+18x^98+6x^99+6x^101+1x^102+1x^104+1x^106 The gray image is a code over GF(2) with n=328, k=13 and d=146. This code was found by Heurico 1.16 in 6 seconds.