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 X 1 1 1 X X 1 1 1 1 X 1 1 0 1 2 X 1 1 1 1 1 X 2 1 2 X X 1 X 1 X 2 0 1 0 1 X 1 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 X+2 X+2 0 X+2 X 2 X X X X+2 2 0 X 2 2 0 2 2 X+2 X+2 X+2 X X 2 X 0 X 2 0 X 0 2 X 2 X 0 X 0 X 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 2 2 X+2 X X 2 X+2 X X X+2 X 0 2 X+2 X 0 X 2 X+2 X 2 0 X 0 X+2 2 X+2 0 2 2 2 0 X 0 2 2 X+2 0 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 0 X X+2 X 0 2 X X+2 0 0 X+2 0 X X+2 X X+2 0 X+2 0 2 X+2 X 0 X+2 X X X+2 X X 2 X X 2 X 2 2 2 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 0 2 2 0 2 0 2 2 0 0 0 2 2 2 0 2 0 2 0 2 0 2 0 2 2 0 2 2 0 0 2 2 0 2 2 2 0 0 2 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 0 0 0 2 2 0 0 2 2 0 0 0 0 0 0 2 0 2 2 0 2 2 2 2 2 2 2 0 0 2 0 2 2 0 2 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 0 0 2 0 2 2 0 0 0 2 0 0 2 0 2 2 0 2 0 0 2 0 0 2 2 2 0 2 0 2 2 0 2 0 generates a code of length 80 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 71. Homogenous weight enumerator: w(x)=1x^0+50x^71+150x^72+128x^73+154x^74+218x^75+305x^76+300x^77+288x^78+394x^79+344x^80+378x^81+298x^82+214x^83+203x^84+154x^85+114x^86+96x^87+100x^88+46x^89+35x^90+40x^91+41x^92+18x^93+6x^94+12x^95+5x^96+3x^100+1x^122 The gray image is a code over GF(2) with n=320, k=12 and d=142. This code was found by Heurico 1.16 in 3.69 seconds.