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 X X 1 1 1 1 1 1 0 1 2 2 1 X 1 1 1 1 X 1 0 1 X 2 1 1 0 1 1 1 X 1 X 1 1 2 0 X 1 1 1 1 2 X 1 X X 1 1 X 1 0 X 0 0 0 X X+2 X 0 2 2 0 X X+2 X X+2 X+2 X+2 X+2 2 0 0 X+2 2 X+2 0 2 X X 2 X 0 X X+2 X+2 X 2 X+2 2 0 2 0 X 2 X+2 2 2 X+2 0 0 0 0 0 X+2 2 X X+2 X+2 X 0 2 0 0 X X X X X+2 X+2 X 2 0 0 X+2 X+2 0 2 X X+2 X+2 X+2 X 0 X 2 0 0 0 X 0 X X X+2 0 0 0 X+2 X+2 X X 2 0 X 2 0 X+2 X+2 2 X+2 2 0 2 X 2 X X X 2 X 0 0 X X X 0 0 X X 2 0 X+2 X X 2 X+2 0 2 2 2 0 2 2 2 0 2 X+2 X X X+2 X X X+2 2 X+2 X+2 X+2 X X X+2 2 X+2 0 2 2 2 0 X+2 2 X+2 0 X+2 2 0 0 0 X X 0 X+2 X 2 X+2 X 2 2 X X 2 0 X+2 0 X 2 X X 0 0 X 2 X+2 X+2 X X 2 2 0 X+2 0 0 2 2 X+2 0 X X X X+2 X X 2 2 X 2 2 X 2 2 0 2 X X X+2 X+2 0 X+2 X+2 0 X 2 2 X 0 X 2 X X X+2 0 X 0 X X X X+2 X+2 X X 2 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 2 2 2 2 2 0 2 2 0 2 0 2 2 2 0 0 2 2 0 0 0 2 2 0 2 0 2 2 0 2 2 2 0 0 0 0 2 2 0 2 0 2 2 0 0 2 0 0 2 2 2 0 0 0 2 0 0 2 2 0 0 0 2 0 0 0 2 2 2 2 0 0 0 0 0 0 2 0 2 0 0 2 2 0 2 2 0 0 0 2 2 2 0 0 2 0 2 2 0 2 0 0 2 2 2 0 0 2 0 0 2 0 2 2 2 2 0 0 0 0 2 2 2 2 2 0 0 2 2 2 0 0 2 2 0 0 0 2 2 0 2 2 2 0 2 2 2 0 0 2 2 2 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 0 0 2 0 0 0 0 0 2 0 2 0 2 2 2 2 2 2 0 0 0 0 2 0 2 0 2 2 2 0 2 2 0 0 2 0 2 2 2 0 0 2 2 2 0 2 0 2 0 2 2 0 0 0 0 2 0 2 0 0 0 2 2 2 2 2 2 2 0 2 0 2 0 2 0 0 generates a code of length 86 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+35x^76+66x^77+106x^78+138x^79+190x^80+212x^81+262x^82+314x^83+333x^84+334x^85+325x^86+322x^87+263x^88+302x^89+208x^90+174x^91+138x^92+74x^93+87x^94+46x^95+42x^96+28x^97+28x^98+22x^99+16x^100+6x^101+6x^102+6x^103+4x^104+2x^105+1x^106+2x^107+2x^108+1x^130 The gray image is a code over GF(2) with n=344, k=12 and d=152. This code was found by Heurico 1.16 in 2.1 seconds.