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 X 1 X 1 1 1 1 1 1 1 1 X 1 1 X 1 1 1 1 X 1 1 1 X 1 1 1 2 X X 1 1 X 1 1 X 0 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 0 0 2 2 2 2 0 2 2 0 2 2 0 2 0 2 0 0 2 0 0 0 0 0 2 2 0 2 0 2 2 2 0 0 0 2 2 0 0 2 0 2 0 2 2 0 2 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 2 2 2 2 2 0 2 2 2 0 2 2 2 0 2 2 0 0 0 0 0 2 0 2 0 2 0 2 2 2 0 0 2 0 0 2 0 2 2 2 0 0 2 2 0 2 0 0 0 2 0 0 2 2 2 2 0 2 0 0 0 2 0 0 0 0 0 0 2 2 2 0 2 2 0 2 2 0 0 0 0 0 0 0 0 2 0 2 2 0 2 2 2 2 2 2 0 0 0 2 0 2 0 2 2 0 0 0 0 0 0 2 0 2 2 0 0 2 0 2 0 2 0 2 0 2 2 0 0 0 0 2 0 0 0 0 0 2 0 2 0 2 0 2 0 2 2 2 0 0 2 0 2 2 2 2 2 2 2 0 0 2 0 2 0 0 0 2 2 2 2 2 2 2 0 2 2 2 0 2 0 0 0 0 2 0 0 2 0 2 2 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 0 0 2 0 0 2 2 2 2 0 2 0 2 2 0 2 0 0 2 2 2 0 2 2 2 0 0 0 0 2 0 0 0 2 2 0 2 2 2 0 0 2 0 2 2 2 2 2 2 2 0 2 2 0 0 0 2 2 2 0 0 0 0 0 0 2 0 0 2 0 2 0 2 0 0 0 2 0 0 0 2 2 2 2 2 0 0 2 0 2 0 0 2 0 2 2 2 2 0 0 2 0 2 2 0 2 0 2 0 2 0 2 2 2 0 0 0 0 0 0 2 2 0 2 2 0 2 2 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 0 0 2 2 2 0 0 2 2 2 2 0 0 2 0 0 0 2 2 0 0 2 0 0 0 2 0 0 0 0 2 2 0 2 2 0 0 2 0 0 2 0 2 2 2 0 2 0 0 2 0 2 0 0 0 0 0 0 0 0 0 2 2 2 0 0 2 2 2 2 2 0 2 0 2 0 2 2 0 2 0 2 2 2 0 2 2 2 2 2 0 2 2 0 2 2 2 0 2 0 0 2 0 0 2 0 0 2 0 0 2 2 0 2 0 2 0 0 0 0 0 0 generates a code of length 69 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 60. Homogenous weight enumerator: w(x)=1x^0+108x^60+10x^62+151x^64+92x^66+723x^68+624x^70+138x^72+36x^74+87x^76+6x^78+40x^80+24x^84+6x^88+1x^92+1x^116 The gray image is a code over GF(2) with n=276, k=11 and d=120. This code was found by Heurico 1.16 in 0.732 seconds.