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 1 1 1 1 1 1 1 1 X 1 1 1 1 X X 1 1 0 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 0 2 0 2 2 2 0 0 2 2 0 2 2 2 0 2 0 2 0 0 2 0 0 2 0 0 2 2 0 2 0 0 2 2 0 2 0 2 0 2 0 0 2 0 2 2 2 0 0 2 2 2 2 2 0 0 2 2 2 0 2 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 0 0 0 2 2 2 2 0 0 0 2 2 0 2 0 2 2 2 0 0 2 0 2 2 2 0 0 0 2 2 0 2 2 2 2 2 0 2 2 2 2 2 0 0 0 2 2 0 0 0 0 0 0 2 2 0 2 2 0 2 2 0 2 2 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 0 2 2 0 0 2 0 2 2 2 0 0 0 2 0 2 2 0 2 2 0 0 0 2 2 2 2 0 2 0 2 2 0 0 2 2 2 0 0 2 0 0 2 2 2 0 0 0 2 2 0 0 2 0 2 0 2 0 2 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 0 2 2 0 2 2 0 0 0 2 2 0 0 2 2 0 0 2 2 0 0 0 2 2 2 0 2 0 2 2 2 2 0 2 0 0 2 0 0 2 0 0 2 2 0 2 0 2 2 0 0 2 2 0 2 0 2 2 0 2 2 0 0 2 2 0 0 0 0 0 2 0 0 0 2 2 2 0 0 0 0 2 2 2 2 0 0 0 2 0 0 0 0 2 2 2 2 0 0 2 2 0 0 2 2 0 0 2 2 2 0 2 0 2 0 2 0 0 0 2 0 2 0 0 2 0 0 2 2 0 2 2 2 0 2 0 2 0 2 0 2 0 2 0 0 0 0 0 0 0 2 0 2 2 2 0 0 0 0 0 0 0 2 2 2 0 2 0 0 0 2 2 0 2 2 0 2 2 2 2 0 2 0 0 2 0 0 0 2 0 2 0 2 0 2 2 0 2 2 2 2 2 2 2 2 2 0 0 2 0 2 2 2 0 0 0 2 0 2 0 2 0 2 0 0 0 0 0 0 0 2 2 0 2 2 0 0 0 0 0 2 2 0 0 2 2 0 0 2 2 0 2 2 0 0 2 0 2 0 2 2 2 2 0 0 0 0 2 2 2 2 2 2 0 0 0 0 0 0 0 2 2 0 2 0 0 0 2 2 0 2 2 0 0 0 2 2 0 2 0 2 2 generates a code of length 79 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+70x^72+81x^76+96x^78+1536x^79+149x^80+32x^82+42x^84+35x^88+5x^92+1x^152 The gray image is a code over GF(2) with n=632, k=11 and d=288. This code was found by Heurico 1.16 in 0.5 seconds.