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 X 1 1 1 1 0 1 1 1 1 1 1 1 1 0 1 1 1 X 1 X 1 0 1 X 1 0 1 X 0 1 1 1 X 2 0 X 0 X+2 0 X+2 0 X+2 2 X+2 0 X+2 X 0 2 X+2 2 X+2 X 2 X+2 0 0 X 0 X+2 X+2 2 X X 0 2 0 X+2 0 2 X+2 X 2 X+2 2 0 2 X X+2 X+2 0 0 X X X X 0 0 0 X X X X X X+2 X+2 X+2 X+2 2 X+2 2 X X X+2 2 X 0 X+2 X X+2 0 0 0 2 0 0 2 0 0 0 0 0 2 0 0 2 2 2 2 0 2 0 2 0 2 0 2 0 0 0 2 0 2 0 2 2 0 0 0 2 2 2 2 0 0 2 0 0 0 2 2 0 2 0 2 2 0 2 0 0 2 0 2 2 2 0 2 0 2 2 0 0 0 0 2 2 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 0 2 0 2 0 2 2 0 2 0 0 0 0 0 2 2 0 2 0 2 0 0 2 0 2 2 2 2 2 2 0 0 2 2 2 2 0 2 0 0 2 0 0 0 0 0 2 2 0 0 0 2 2 2 2 2 0 2 2 2 2 2 2 2 0 0 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 0 2 2 2 2 2 0 2 2 0 2 0 2 0 2 2 0 0 0 0 0 2 0 2 2 0 0 0 2 2 2 0 0 2 0 0 2 0 2 2 2 2 0 0 2 0 2 2 0 2 0 2 0 2 0 2 0 2 2 0 0 2 2 0 2 0 0 0 0 0 2 0 0 0 2 0 0 2 0 0 2 0 2 0 0 2 0 0 0 2 2 0 2 0 2 2 2 0 0 2 2 2 0 0 0 0 2 2 2 0 2 0 0 0 2 2 0 0 2 0 0 0 2 0 2 0 2 2 0 2 2 0 2 2 0 2 2 2 0 2 0 0 2 0 2 0 0 0 0 0 0 2 0 2 0 2 0 0 0 2 0 0 2 2 2 2 2 0 2 0 0 2 0 2 0 2 2 0 2 2 2 0 2 2 2 2 0 0 2 0 0 2 2 2 2 0 0 0 2 2 0 0 2 0 0 2 0 0 0 2 2 0 2 0 2 0 0 2 2 0 0 0 0 2 2 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 2 0 0 2 0 0 2 2 0 0 0 0 0 2 2 0 0 2 2 0 0 0 2 2 0 0 2 2 2 2 2 2 2 0 0 0 2 0 2 2 2 0 2 0 2 0 2 0 0 2 2 2 2 2 0 0 0 2 2 2 2 2 0 0 0 generates a code of length 80 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+173x^72+16x^74+310x^76+240x^78+594x^80+240x^82+298x^84+16x^86+132x^88+14x^92+9x^96+2x^100+2x^104+1x^136 The gray image is a code over GF(2) with n=320, k=11 and d=144. This code was found by Heurico 1.16 in 17.8 seconds.