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 X 1 1 1 1 1 1 1 1 2 1 1 1 1 X X 1 1 1 1 1 1 X 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 0 2 2 0 2 2 0 0 2 2 0 2 2 0 0 2 2 0 2 2 0 2 2 0 0 2 2 0 0 2 2 0 0 2 2 0 0 2 2 2 0 0 0 2 2 2 2 2 0 2 2 0 0 2 2 2 0 0 0 0 2 0 0 2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 2 2 0 2 2 0 0 2 2 0 2 2 0 0 2 2 0 2 2 0 2 2 0 2 0 2 0 0 2 2 0 0 2 2 0 2 2 2 2 0 2 2 0 2 0 2 2 0 2 2 0 0 2 2 0 0 2 0 2 0 2 2 2 0 2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 2 0 0 0 2 2 2 2 0 0 0 2 2 2 2 0 0 0 2 2 0 2 2 2 2 0 0 0 0 2 2 2 2 0 0 0 0 2 2 2 2 2 2 0 0 2 0 2 2 2 0 2 0 0 2 2 2 2 0 2 2 2 0 2 0 2 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 0 2 2 2 2 0 0 2 0 0 2 2 0 0 2 0 0 2 0 2 2 0 0 0 2 2 2 2 0 0 0 0 2 2 2 2 0 0 0 0 2 0 0 2 0 0 2 2 0 2 2 2 0 2 2 2 2 2 2 0 0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 0 2 0 2 2 2 0 0 0 0 2 2 2 0 0 2 2 2 0 0 2 0 2 0 0 2 0 0 0 2 0 0 0 2 0 2 0 0 2 2 0 0 2 2 0 2 2 2 2 0 0 0 2 0 0 0 2 0 0 0 2 2 2 0 2 0 2 0 2 2 0 2 0 0 0 0 0 0 0 2 0 2 2 2 0 0 0 0 2 0 2 2 2 0 2 2 0 0 0 2 2 0 0 2 0 0 2 2 0 0 2 0 0 2 0 2 0 2 0 0 2 2 0 2 0 0 2 0 2 2 2 2 0 2 0 0 2 2 0 2 0 0 0 0 2 2 2 0 2 0 0 2 2 2 0 0 2 2 2 2 0 0 0 0 0 0 0 2 2 0 2 2 0 2 2 2 0 2 2 2 0 2 0 2 0 2 0 2 2 2 2 2 2 2 2 2 0 0 2 0 0 0 2 2 0 2 0 2 2 0 0 2 2 0 2 2 0 0 2 2 0 0 0 2 2 0 2 2 2 0 0 2 2 2 2 2 2 2 2 0 0 2 2 2 0 0 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+61x^80+105x^84+352x^86+399x^88+32x^90+34x^92+22x^96+12x^100+5x^104+1x^164 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 0.512 seconds.