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 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2X+2 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 X X X X 2X+2 1 1 1 X X X X 0 2X 0 0 0 0 0 0 0 2X 2X 2X 0 2X 0 0 2X 0 2X 2X 0 0 0 0 0 0 2X 2X 2X 2X 0 2X 2X 0 2X 0 0 2X 0 2X 2X 2X 2X 2X 2X 2X 2X 2X 0 2X 2X 0 0 0 2X 0 0 2X 0 2X 0 2X 0 0 2X 0 2X 0 0 2X 0 0 2X 0 2X 0 2X 2X 0 0 0 0 2X 0 0 0 0 0 2X 2X 2X 2X 0 0 0 2X 0 2X 2X 0 0 0 0 0 2X 2X 2X 2X 0 0 0 2X 0 2X 0 2X 2X 0 2X 2X 0 2X 2X 0 2X 0 2X 2X 0 2X 0 2X 0 0 2X 2X 0 2X 2X 0 2X 0 0 0 0 2X 2X 2X 2X 0 0 2X 2X 0 2X 2X 2X 2X 0 0 0 0 0 2X 0 0 0 0 2X 0 0 2X 0 2X 0 0 0 0 0 0 2X 2X 2X 2X 2X 2X 0 2X 2X 2X 2X 0 2X 0 2X 0 0 2X 2X 2X 0 0 0 0 0 0 0 0 2X 0 0 2X 2X 0 0 2X 2X 0 0 0 0 0 0 2X 2X 2X 2X 0 2X 2X 2X 2X 2X 0 2X 2X 2X 0 0 0 0 0 0 0 2X 0 0 0 2X 0 2X 2X 2X 0 0 2X 2X 0 0 2X 2X 2X 2X 2X 0 0 2X 0 0 2X 0 0 2X 2X 2X 0 0 0 2X 2X 2X 2X 2X 0 2X 0 2X 0 0 0 2X 2X 0 0 0 0 2X 2X 2X 0 2X 2X 2X 0 0 0 0 2X 2X 0 0 0 0 0 2X 0 0 2X 0 0 0 0 0 0 0 2X 0 0 2X 0 2X 0 0 2X 2X 2X 0 0 2X 2X 0 0 0 2X 0 2X 2X 0 0 2X 2X 0 0 2X 2X 2X 2X 0 0 2X 2X 2X 0 2X 2X 0 0 0 0 2X 2X 0 2X 0 2X 2X 2X 0 0 0 0 0 2X 2X 0 0 2X 0 2X 2X 0 2X 0 2X 0 2X 2X 2X 0 0 0 0 0 0 0 0 2X 0 2X 2X 0 0 0 2X 2X 0 2X 2X 2X 0 0 0 2X 2X 0 0 0 0 2X 2X 0 0 2X 0 0 2X 0 0 2X 0 2X 2X 2X 2X 2X 2X 2X 0 2X 0 0 2X 0 2X 2X 2X 2X 0 0 0 2X 0 2X 0 0 2X 2X 0 2X 2X 2X 0 0 2X 2X 2X 0 0 0 0 0 0 0 0 0 0 0 2X 2X 2X 0 2X 2X 0 2X 0 0 0 2X 2X 0 2X 2X 0 0 0 2X 0 0 0 2X 2X 2X 2X 0 2X 0 2X 0 0 2X 2X 2X 0 0 0 0 0 2X 0 0 2X 2X 2X 0 0 2X 0 2X 2X 2X 0 2X 2X 0 2X 2X 0 0 0 0 2X 2X 0 0 2X 0 2X 2X 2X generates a code of length 80 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+51x^72+16x^74+109x^76+176x^78+1393x^80+176x^82+53x^84+16x^86+24x^88+19x^92+8x^96+3x^100+2x^104+1x^136 The gray image is a code over GF(2) with n=640, k=11 and d=288. This code was found by Heurico 1.16 in 0.515 seconds.