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 X 1 X 1 1 1 X 1 1 X 1 1 1 1 1 X 1 1 X 1 X 1 1 1 X 1 X 2 1 1 X 0 2 0 0 0 0 0 0 0 0 2 0 2 2 0 2 0 0 2 0 0 0 2 2 0 0 0 0 2 2 0 2 2 2 2 2 0 2 2 2 0 0 0 2 2 2 0 0 2 2 2 0 0 2 0 0 0 2 0 0 0 0 2 2 2 0 0 2 0 0 2 0 2 2 0 2 0 0 2 0 0 2 0 0 0 0 0 0 0 2 2 2 0 2 2 0 0 0 0 0 2 2 0 0 0 0 2 2 0 2 2 0 2 2 0 2 2 2 0 2 2 2 0 0 2 2 0 2 0 0 0 0 0 2 0 0 2 0 2 0 2 0 2 0 2 0 2 2 2 0 0 2 0 0 2 0 2 2 0 0 0 2 0 0 0 0 0 2 0 2 0 2 2 0 0 2 0 0 2 2 2 0 0 0 2 0 0 0 0 0 2 2 2 0 2 0 0 2 2 2 0 0 0 2 2 0 0 0 2 2 0 2 2 0 2 2 2 0 2 0 2 2 0 2 0 0 0 2 0 2 0 2 2 0 0 2 2 0 0 0 0 2 0 0 0 0 2 0 0 0 0 2 2 0 2 2 0 0 2 2 2 2 0 0 2 2 0 2 2 2 0 0 0 0 0 0 0 2 0 2 2 2 0 0 2 2 0 0 2 0 2 2 0 2 2 0 0 0 0 2 2 2 0 2 2 2 0 0 2 0 0 0 2 0 2 0 0 0 0 0 0 2 0 0 0 2 0 0 2 2 2 2 0 0 0 2 2 2 0 2 2 0 0 0 2 0 0 2 0 0 2 0 2 0 2 0 0 2 0 2 0 0 0 2 0 2 2 2 0 2 2 2 0 0 0 2 0 2 0 0 2 0 0 2 2 2 0 2 0 0 2 2 2 0 2 0 0 0 0 0 0 2 0 0 2 0 2 2 0 0 0 2 0 2 0 2 2 2 2 0 0 0 0 2 0 2 0 0 2 0 2 2 0 0 0 0 2 2 0 2 0 2 2 0 2 2 2 2 0 2 2 0 2 2 0 0 0 0 2 0 2 0 2 2 0 2 0 0 2 0 0 2 0 2 0 0 0 0 0 0 0 2 0 2 2 2 0 0 0 2 0 0 2 2 0 2 0 2 0 2 0 2 2 2 0 0 0 0 2 0 2 2 0 0 0 0 2 2 2 2 0 0 2 2 0 0 2 2 2 2 2 2 0 2 2 2 2 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 2 0 0 0 0 0 0 0 0 2 2 2 0 0 2 0 0 2 2 2 0 2 2 0 2 2 2 2 2 0 0 2 0 0 0 2 0 0 0 2 0 0 2 0 0 0 2 0 2 2 0 0 0 0 2 2 0 0 2 2 2 2 0 0 0 0 2 0 2 0 2 2 2 2 0 2 0 2 0 0 generates a code of length 79 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 70. Homogenous weight enumerator: w(x)=1x^0+86x^70+130x^72+40x^74+88x^76+719x^78+685x^80+72x^82+40x^84+81x^86+65x^88+25x^94+14x^96+1x^102+1x^136 The gray image is a code over GF(2) with n=316, k=11 and d=140. This code was found by Heurico 1.16 in 96.9 seconds.