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 X X X X X X 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 2 X X 2 2 X 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 0 2 2 2 0 2 2 2 0 2 2 2 0 2 2 2 0 2 2 2 0 2 2 2 0 2 2 2 0 2 0 2 0 0 2 2 0 0 0 2 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 0 2 2 2 0 2 2 2 0 2 2 2 0 2 2 2 0 2 2 2 0 2 0 2 2 2 2 2 0 0 2 0 2 2 2 0 0 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 0 2 2 0 0 2 2 0 2 2 0 0 0 0 0 0 2 2 2 0 0 2 2 0 0 2 2 0 0 2 0 2 2 0 2 0 2 0 0 2 0 2 0 0 2 2 0 2 2 0 0 2 0 2 2 2 0 0 2 2 2 2 2 2 0 0 0 0 0 2 0 0 0 2 2 2 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 2 2 2 0 2 2 2 0 2 2 2 2 0 2 2 2 0 2 2 2 0 2 2 2 2 0 2 2 0 2 0 2 2 0 0 2 2 0 0 0 2 0 2 0 0 0 0 0 0 0 2 0 2 2 2 0 0 0 0 2 2 2 2 0 0 0 2 2 2 2 0 0 0 2 2 2 2 2 2 0 0 0 0 2 0 2 2 2 0 2 2 0 2 0 0 0 0 2 0 0 0 0 0 2 2 2 0 0 2 0 2 2 2 0 2 0 2 2 0 0 0 2 2 0 2 0 2 2 0 0 0 0 0 0 0 0 2 2 0 2 2 0 2 2 2 0 0 2 0 2 2 2 0 0 2 0 2 2 2 0 0 2 0 2 2 0 0 2 0 0 0 0 2 2 2 2 2 2 2 2 0 2 0 2 0 0 2 0 0 2 0 0 2 2 0 2 2 0 0 0 0 2 0 0 0 2 2 2 2 0 0 0 0 0 0 generates a code of length 85 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 80. Homogenous weight enumerator: w(x)=1x^0+39x^80+104x^82+120x^84+112x^86+84x^88+40x^90+8x^92+3x^96+1x^144 The gray image is a code over GF(2) with n=340, k=9 and d=160. This code was found by Heurico 1.16 in 15.3 seconds.