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 1 1 1 1 1 1 1 1 1 1 1 X X 1 1 1 1 1 1 1 1 1 1 X 1 X 1 X 1 1 0 2 0 0 0 0 0 0 0 2 2 2 0 2 0 0 2 0 2 2 0 0 0 0 0 2 0 2 0 0 2 0 2 2 2 2 0 0 2 2 0 2 2 0 0 0 2 0 2 0 0 2 0 0 2 2 2 2 0 0 0 2 0 2 2 0 2 2 2 0 2 2 2 2 0 0 0 2 2 0 0 0 0 2 0 0 0 0 0 2 2 2 2 0 0 0 2 0 2 2 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 2 0 0 2 0 2 0 0 0 2 0 2 0 2 2 0 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 2 2 0 0 2 2 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 2 0 2 0 0 0 0 0 0 2 2 2 2 2 0 2 0 2 2 2 2 0 2 0 2 2 0 2 0 2 2 0 2 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2 2 2 0 0 2 2 0 2 0 2 0 2 0 0 0 0 0 0 2 0 0 0 2 0 2 2 2 0 0 2 2 0 0 2 2 2 2 2 0 0 0 2 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 2 2 2 2 0 2 2 2 2 0 2 2 2 2 0 0 2 0 0 0 0 0 2 0 0 2 0 0 2 0 0 2 0 0 2 2 0 0 0 0 0 0 0 2 0 0 2 0 2 0 0 2 2 2 0 0 2 2 0 0 0 2 2 2 2 0 2 0 2 2 2 2 2 2 2 2 2 2 2 0 0 2 2 2 2 0 0 0 2 0 0 0 0 2 2 0 2 0 2 0 0 0 2 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 0 0 2 2 0 2 2 2 0 0 0 2 2 0 0 0 0 2 2 0 0 0 2 2 2 0 2 0 0 2 0 0 2 2 2 0 2 0 2 0 2 2 0 0 2 0 0 2 0 2 2 2 2 0 0 2 2 0 0 0 2 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 2 0 2 0 0 0 2 2 0 2 2 0 0 0 0 0 2 0 2 2 2 2 0 2 0 0 0 2 2 2 0 0 0 2 0 2 2 0 0 0 2 2 0 2 2 0 0 0 2 2 0 0 0 2 0 2 2 2 0 2 0 0 2 2 0 2 0 0 0 generates a code of length 81 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+36x^72+82x^76+48x^78+112x^80+512x^81+64x^82+90x^84+16x^86+35x^88+18x^92+7x^96+2x^100+1x^152 The gray image is a code over GF(2) with n=324, k=10 and d=144. This code was found by Heurico 1.16 in 0.412 seconds.