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 1 1 1 1 1 1 X 1 1 1 X X 1 1 1 1 1 X 1 1 1 X 1 1 1 1 X 1 1 1 1 X 1 X 1 1 1 1 1 1 X 1 0 2 0 0 0 0 0 0 0 0 2 0 0 0 2 2 0 0 0 0 2 2 2 2 0 2 2 0 2 2 0 2 0 0 0 2 0 2 0 0 0 0 0 2 2 2 2 2 0 0 2 0 2 0 0 2 2 2 2 0 0 2 2 2 2 2 2 0 2 2 0 2 2 2 2 2 0 0 2 2 2 2 0 0 2 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 0 0 2 0 2 0 0 0 2 2 2 0 2 2 0 2 0 2 2 2 0 0 2 0 2 2 0 2 0 0 2 0 2 2 0 2 2 2 0 0 0 2 2 2 0 0 0 0 0 0 2 2 2 2 2 0 2 0 2 2 0 0 0 2 0 0 0 0 0 2 0 2 2 2 0 0 2 2 2 0 0 2 2 2 0 2 0 2 0 0 0 2 0 2 2 0 0 2 0 0 2 0 2 0 0 0 2 2 0 2 0 0 2 0 0 0 2 0 0 2 2 0 2 0 0 2 2 0 0 2 2 0 2 2 0 2 2 0 0 2 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 2 0 2 2 0 2 2 2 2 2 2 0 2 0 2 2 2 0 0 2 0 0 0 0 2 2 0 0 2 2 2 0 2 0 0 0 0 0 0 0 0 2 0 2 2 0 2 2 0 2 2 2 0 0 0 2 2 0 2 2 0 2 0 2 0 0 2 0 0 2 2 2 0 0 0 0 0 0 2 0 0 0 2 0 0 2 2 2 2 0 2 0 2 0 0 0 2 0 2 2 2 2 2 2 2 0 0 2 2 0 2 2 0 0 0 2 2 0 0 2 0 2 2 0 0 0 2 2 0 0 0 2 2 0 0 0 2 0 2 0 2 0 2 0 2 0 2 2 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 0 2 0 2 0 0 2 2 0 2 2 0 0 2 2 2 0 0 0 2 2 2 0 2 0 2 0 0 0 0 0 0 0 2 0 2 0 2 0 2 2 0 0 0 2 0 0 2 2 2 0 0 0 2 0 2 2 0 2 0 2 2 0 0 0 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 2 0 2 2 2 0 0 0 2 2 2 0 2 0 0 2 2 2 2 2 0 0 2 0 0 0 0 2 0 0 2 0 2 0 0 2 2 0 0 0 0 2 0 2 2 2 0 0 2 2 0 2 2 2 0 0 0 0 0 2 2 2 0 2 2 2 2 0 0 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 2 2 0 2 0 0 0 0 2 2 2 2 0 0 2 2 0 0 0 2 2 0 2 0 0 0 0 2 2 0 0 2 0 2 2 2 0 0 2 0 2 0 2 0 0 2 2 2 0 0 2 2 2 0 2 2 2 2 0 2 0 0 0 0 2 0 0 0 0 2 2 0 0 2 2 2 2 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+91x^76+4x^78+128x^80+64x^82+204x^84+1144x^86+164x^88+64x^90+77x^92+4x^94+45x^96+42x^100+13x^104+2x^108+1x^152 The gray image is a code over GF(2) with n=344, k=11 and d=152. This code was found by Heurico 1.16 in 0.977 seconds.