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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 X 1 0 1 X 1 0 1 1 X 1 2 X 1 1 2 0 X 0 X+2 0 X+2 0 X+2 2 X+2 0 X+2 X 0 2 X+2 2 X+2 2 X 0 X+2 0 X 0 2 X+2 X 0 X+2 2 X 0 X+2 0 X+2 2 X+2 0 2 X X X 2 0 X X+2 2 X+2 0 X X+2 X X 0 0 2 2 2 X X+2 0 X 0 X+2 X+2 2 0 X+2 2 X 2 X+2 2 2 0 2 X+2 0 0 X+2 X+2 2 0 0 0 2 0 0 0 0 0 2 0 0 2 2 2 2 0 2 2 0 2 0 0 2 0 0 2 0 0 2 0 0 0 0 0 2 2 0 2 0 2 2 0 2 0 2 2 0 0 0 2 0 0 2 0 2 0 2 2 2 2 2 0 0 2 0 2 2 0 0 2 2 2 0 2 0 2 0 0 0 2 2 2 0 2 0 0 0 2 0 0 0 0 0 0 2 2 0 2 0 2 0 2 0 0 0 2 0 2 0 2 0 2 0 2 2 0 0 0 2 0 2 0 0 2 2 2 2 2 2 2 0 0 0 0 2 2 0 2 0 2 2 0 2 0 0 2 2 0 2 0 0 2 2 0 2 2 0 2 0 2 2 2 0 2 2 0 2 2 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 0 2 0 2 0 0 2 2 2 2 2 2 0 0 0 0 2 0 0 2 2 2 2 0 0 2 0 0 2 2 2 2 0 0 2 2 0 2 2 0 0 0 0 2 2 0 2 0 2 2 0 2 0 2 0 2 0 2 0 0 2 2 0 0 2 2 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 2 0 0 2 0 2 0 0 0 0 0 2 2 2 2 0 2 2 2 0 0 0 0 2 2 2 2 2 0 2 2 0 2 0 2 2 0 2 2 2 0 0 2 0 0 0 2 0 2 2 2 0 0 0 2 0 0 2 0 2 0 2 0 0 0 0 2 2 2 0 2 0 0 0 0 0 0 0 2 0 2 0 2 0 0 0 2 0 0 0 2 0 2 2 0 2 0 2 0 2 2 2 0 0 0 2 0 0 2 2 2 2 0 2 0 0 2 2 2 0 2 0 0 0 0 0 2 2 2 2 0 0 2 2 0 2 2 0 2 2 0 0 0 0 2 2 0 2 2 0 0 2 2 2 0 2 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 2 0 0 0 0 2 0 2 2 0 0 2 0 0 2 0 0 2 2 2 0 0 2 2 2 2 0 2 0 2 0 2 2 0 0 2 0 2 2 2 2 2 2 2 0 0 2 0 2 2 2 2 0 2 0 0 0 2 0 0 0 0 0 0 2 2 0 2 2 generates a code of length 84 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+117x^76+94x^78+32x^79+193x^80+128x^81+200x^82+192x^83+293x^84+128x^85+222x^86+32x^87+164x^88+90x^90+87x^92+28x^94+34x^96+6x^98+6x^100+1x^148 The gray image is a code over GF(2) with n=336, k=11 and d=152. This code was found by Heurico 1.16 in 82.7 seconds.