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 2 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 0 X 0 X+2 0 X+2 0 X+2 2 X+2 X+2 0 0 X+2 X 2 0 X+2 X 2 0 X+2 X 2 0 X+2 2 X 0 X+2 2 X+2 X 0 X 0 0 X+2 2 X+2 X+2 0 X 0 2 X 0 X X 2 2 X 0 X+2 0 X+2 X X 0 2 2 0 2 X+2 X+2 2 X+2 X+2 X+2 X+2 X X 0 2 2 0 2 2 X+2 X X X X+2 2 X+2 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 2 0 2 2 2 2 2 0 2 0 2 0 2 2 2 0 0 2 0 0 2 2 2 0 0 2 0 2 2 2 2 2 2 2 0 2 0 0 2 2 0 0 0 2 2 0 2 0 0 2 0 2 2 0 0 0 0 2 2 0 2 0 2 2 2 2 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 2 0 0 2 0 0 0 2 0 0 2 0 2 2 2 0 2 0 2 2 2 0 2 0 2 0 2 2 2 0 2 2 2 0 2 2 2 2 2 0 2 0 2 0 2 2 0 0 0 2 0 2 2 2 2 2 2 0 0 2 2 2 0 2 0 0 2 2 2 2 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 0 2 0 2 2 2 2 2 0 2 2 2 2 2 2 2 0 0 2 0 2 2 0 2 2 0 0 2 0 0 2 2 0 2 0 0 2 0 0 0 0 2 2 2 2 0 2 0 2 2 2 2 0 2 0 2 0 0 0 0 2 2 2 2 0 0 0 0 0 0 2 0 2 0 0 2 2 2 2 0 2 0 2 2 2 0 2 2 0 2 2 2 2 2 2 2 2 2 0 2 2 2 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 0 2 2 0 0 2 0 0 2 2 0 2 2 2 2 0 0 0 2 2 2 0 2 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 2 2 2 2 0 2 0 0 2 0 2 2 0 2 2 0 2 0 0 2 0 0 2 0 2 2 2 2 2 2 0 0 0 2 0 2 0 0 0 2 2 0 0 0 2 2 2 0 0 2 0 0 2 2 2 0 0 2 0 0 2 0 0 0 2 2 2 2 0 2 2 2 2 0 generates a code of length 87 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 80. Homogenous weight enumerator: w(x)=1x^0+26x^80+78x^82+82x^84+128x^85+170x^86+128x^87+207x^88+102x^90+30x^92+30x^94+37x^96+4x^98+1x^168 The gray image is a code over GF(2) with n=348, k=10 and d=160. This code was found by Heurico 1.16 in 0.596 seconds.