The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 0 1 0 1 2 1 0 1 2 1 0 X 1 1 X 1 1 1 0 1 0 1 X 1 1 X 2 1 0 1 1 2 0 1 1 1 X 1 0 X 0 0 0 X X+2 X 0 2 2 0 X X+2 X X 0 X+2 2 X 0 X 0 2 X+2 X+2 2 X 0 0 X+2 X+2 2 X+2 X+2 2 X+2 X+2 X+2 X X 2 0 X 0 X+2 0 X+2 X 0 X X+2 2 0 X X+2 0 X X 2 X 0 2 2 0 2 0 X 0 X+2 X X+2 2 X+2 2 2 2 X+2 2 X 2 X+2 0 0 X 0 X X X+2 0 0 0 X+2 X+2 X X 2 2 0 2 2 X X X 2 X+2 2 0 0 0 X X+2 X X+2 2 X 0 2 0 0 0 X+2 X X+2 2 X 0 X+2 X 2 2 X X 2 X 0 X+2 X+2 2 2 X+2 X 2 2 X X+2 2 X 0 X+2 2 X 0 X 0 X+2 X+2 0 0 2 X 2 X+2 X+2 0 0 0 X X 0 X+2 X 2 X+2 X 2 2 X X 2 2 X+2 X+2 X X 2 X+2 0 2 2 2 X 0 X+2 2 X X+2 X 0 X 0 X+2 2 X+2 0 0 2 2 X 0 0 X+2 X X+2 X 0 X 2 X+2 X+2 0 0 2 X+2 0 X+2 2 0 X X+2 X+2 0 X X+2 0 2 X X+2 X+2 X X 0 X+2 X+2 2 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 0 0 2 0 2 2 0 2 0 2 0 2 0 2 2 0 2 0 2 0 2 2 0 2 0 2 2 0 2 2 2 0 2 2 2 2 0 2 0 2 0 2 0 0 2 0 0 0 2 0 0 2 0 0 0 2 2 2 2 0 2 0 0 0 0 0 0 2 0 2 0 0 2 2 0 2 2 2 2 2 0 0 0 0 0 0 2 0 2 2 2 2 2 2 2 0 2 2 0 0 0 2 0 0 0 0 2 2 0 0 0 0 2 0 2 2 2 0 2 2 0 2 2 2 0 2 2 2 0 0 0 0 0 0 2 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 0 0 0 2 0 0 0 2 0 2 2 2 2 0 2 2 2 2 2 0 2 0 2 0 0 0 2 0 2 2 2 0 0 2 2 2 2 2 2 0 0 0 2 2 0 0 0 2 2 2 0 0 0 2 0 2 2 0 2 2 0 0 0 0 2 2 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+62x^73+120x^74+136x^75+177x^76+248x^77+265x^78+262x^79+353x^80+372x^81+317x^82+344x^83+305x^84+260x^85+233x^86+150x^87+123x^88+88x^89+61x^90+50x^91+48x^92+42x^93+26x^94+12x^95+14x^96+14x^97+2x^98+6x^99+2x^100+2x^101+1x^128 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 6.21 seconds.