The generator matrix 1 0 0 1 1 1 X 1 1 X+2 1 1 X X+2 X X+2 1 1 2 1 1 0 0 1 1 2 1 1 2 2 2 1 1 2 1 1 1 2 1 1 0 1 1 X+2 1 1 X 1 X+2 X+2 X 1 1 0 0 1 2 2 1 X 1 1 0 X 1 1 1 X+2 0 X+2 X+2 1 0 X 1 1 X 1 1 1 1 1 1 0 1 0 X 1 X+3 1 X+2 0 2 1 X+1 X+2 1 1 1 X+2 1 1 0 X+3 1 0 0 X 1 X+3 X+1 1 X X+2 1 2 1 2 3 3 1 X+2 1 1 X 0 1 X+3 1 0 X+3 1 1 X 2 X+1 0 1 2 1 1 0 1 2 0 1 1 X+2 X+1 2 1 1 1 X+2 X+2 1 1 1 2 0 3 X+1 X+3 2 X 0 0 0 1 1 X+3 X+2 1 X+3 X+2 1 1 0 1 X+1 X 0 2 X+2 X+1 X+1 1 X+1 1 1 X 0 X+1 2 1 1 1 X+3 0 X+3 X+1 0 2 X 2 X 1 X+2 1 2 X 1 1 X+3 3 2 1 X+3 X 1 0 X X X 3 X+1 3 X+2 0 X+2 X+1 0 0 3 X 3 1 0 X+3 1 2 0 1 X+1 X+2 X+1 1 3 X+1 0 0 0 2 0 0 0 0 2 2 0 0 0 2 2 0 0 0 0 2 2 2 2 2 0 2 0 2 2 0 2 2 2 0 0 2 0 2 0 0 0 2 2 0 0 0 2 2 0 2 2 2 0 0 0 2 0 2 2 0 0 2 0 2 2 2 2 0 0 2 0 2 0 0 2 0 2 0 0 2 2 2 2 0 0 0 0 2 0 0 0 0 0 0 2 2 2 2 0 0 0 2 2 2 0 2 0 2 2 2 0 0 2 0 2 0 0 2 0 0 0 0 2 0 2 2 2 0 2 0 0 0 2 0 2 0 2 2 0 2 2 2 2 0 0 0 2 2 2 2 0 0 2 0 0 2 2 2 0 0 0 2 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 0 2 2 2 2 0 2 2 2 2 0 2 2 0 2 2 2 2 2 2 0 0 0 2 2 0 0 0 2 2 2 0 2 2 0 2 2 2 0 0 0 0 2 2 0 2 2 2 2 2 2 0 2 0 2 0 0 2 2 2 2 2 0 0 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 2 2 2 2 2 2 0 0 0 2 2 2 2 2 2 2 2 0 2 2 2 0 0 2 0 0 2 0 2 2 0 0 2 0 0 2 2 0 2 2 2 0 0 0 2 0 2 2 2 2 0 0 2 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 0 0 0 0 2 2 2 2 0 0 2 0 0 2 0 0 0 0 0 0 2 0 2 0 0 2 2 0 2 2 2 0 2 0 2 2 0 0 2 2 0 2 0 2 0 2 2 0 2 2 2 0 0 2 2 0 0 2 2 2 0 0 2 2 2 2 0 0 0 generates a code of length 83 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 73. Homogenous weight enumerator: w(x)=1x^0+66x^73+208x^74+330x^75+549x^76+776x^77+935x^78+1026x^79+1107x^80+1274x^81+1399x^82+1394x^83+1335x^84+1228x^85+1040x^86+970x^87+873x^88+648x^89+416x^90+324x^91+190x^92+82x^93+87x^94+44x^95+30x^96+20x^97+9x^98+8x^99+5x^100+2x^101+1x^102+5x^104+1x^108+1x^118 The gray image is a code over GF(2) with n=332, k=14 and d=146. This code was found by Heurico 1.16 in 23.6 seconds.