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 2 1 0 2 1 1 1 0 1 1 X 1 1 0 1 1 X 1 1 X 1 X 1 1 1 2 X 2 1 1 X X 0 X 0 X 0 0 X X+2 0 2 X X+2 0 X+2 2 X+2 X 0 2 X 2 X+2 0 X+2 0 2 X X 2 0 X X 0 2 X X+2 0 2 0 0 X X X+2 X X+2 0 X 2 X X 2 0 X+2 X X 0 0 2 2 0 X+2 2 0 2 0 X 0 X+2 0 2 2 X 2 X 0 X+2 X+2 0 0 0 X X 0 X+2 X 0 2 X X 0 2 X+2 X 2 X 0 X+2 0 0 2 X+2 X 0 X X 2 0 X+2 X+2 2 0 X X 0 0 X+2 X+2 2 X 2 X+2 X+2 0 X X+2 X 2 X+2 2 X+2 2 0 X+2 X X+2 X X+2 X X X+2 X+2 X 0 X X+2 X+2 X X+2 0 X X+2 X+2 X X 2 0 0 0 0 2 0 0 0 2 2 2 0 0 2 2 0 0 0 2 2 2 2 0 0 0 2 0 0 0 2 0 0 0 0 0 2 2 2 2 2 0 2 0 2 2 2 2 2 2 0 0 0 0 2 0 2 2 2 0 0 2 2 2 0 2 0 0 0 2 0 0 0 2 0 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 2 2 2 0 2 2 2 0 2 2 2 2 0 2 0 0 2 0 2 0 0 2 0 2 0 0 2 2 2 0 0 0 2 2 2 0 0 2 2 0 2 0 2 2 2 0 0 2 0 2 2 2 2 0 2 0 0 0 2 0 2 0 2 2 0 0 0 0 0 0 2 0 0 0 2 2 2 2 0 0 0 2 0 2 0 2 2 2 0 0 2 0 0 0 2 0 0 0 0 2 2 2 0 2 2 2 2 0 2 0 0 0 2 2 2 0 0 2 2 2 0 2 0 0 0 0 0 2 0 2 2 2 0 2 2 0 2 0 2 2 2 2 2 0 0 0 0 0 0 2 2 2 2 2 0 2 0 0 0 2 2 2 2 2 0 0 2 0 2 0 2 0 2 0 2 2 2 2 2 0 0 0 2 0 2 2 2 0 2 2 0 2 0 2 2 0 2 0 0 2 2 2 0 2 2 2 2 0 0 2 0 0 0 0 0 2 0 2 2 0 2 generates a code of length 78 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 70. Homogenous weight enumerator: w(x)=1x^0+77x^70+4x^71+159x^72+20x^73+182x^74+116x^75+237x^76+132x^77+302x^78+108x^79+235x^80+92x^81+124x^82+28x^83+88x^84+12x^85+57x^86+35x^88+22x^90+11x^92+4x^94+1x^96+1x^128 The gray image is a code over GF(2) with n=312, k=11 and d=140. This code was found by Heurico 1.16 in 0.701 seconds.