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 X 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 X 1 1 1 1 1 0 1 X 1 1 1 1 0 1 1 X X 1 0 X 1 0 X X 0 2 1 1 1 0 X 0 X+2 0 X+2 0 X+2 2 X+2 0 X+2 X 0 2 X+2 0 X+2 2 X 0 X 2 X+2 X+2 X 0 2 0 X+2 2 X 0 X+2 0 X+2 2 X+2 X+2 X+2 X 0 2 2 X+2 X 2 0 X+2 X X X+2 2 2 X X+2 2 0 X X+2 X X X+2 X+2 X 2 X+2 0 X 2 X+2 X+2 X 2 X X+2 X X X+2 X+2 X X 0 2 0 0 0 2 0 0 0 0 0 2 0 0 2 2 2 2 0 2 0 2 2 0 0 0 0 2 2 0 2 2 2 0 0 0 0 2 0 2 0 2 0 2 2 0 2 2 0 0 2 2 0 0 2 0 0 0 2 2 0 2 0 2 2 2 2 0 0 2 2 0 2 0 0 0 2 0 2 2 0 0 0 0 2 2 0 0 0 0 0 2 0 0 0 0 0 0 2 2 0 2 0 2 2 0 0 2 2 2 0 0 0 2 0 2 2 2 0 2 0 0 0 2 0 2 2 0 2 0 0 0 0 0 2 2 0 2 0 2 0 2 2 2 2 0 0 0 0 0 0 2 0 2 0 2 2 0 2 2 2 2 0 2 0 2 0 2 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 0 2 2 2 2 2 2 0 0 2 2 2 0 2 2 0 0 0 2 0 2 0 2 0 2 2 2 2 2 2 2 2 0 0 2 2 0 0 2 0 0 2 2 2 2 2 2 0 2 2 0 0 2 0 2 2 0 2 2 0 2 0 0 0 2 0 2 2 2 0 0 0 0 0 0 2 0 0 0 2 0 0 2 0 0 2 2 0 2 2 2 2 2 0 2 2 0 2 2 0 0 0 0 2 2 0 2 2 2 2 0 0 2 0 0 0 2 0 2 0 0 2 2 0 0 0 0 2 2 2 2 0 2 2 0 2 0 0 0 2 0 2 0 0 2 2 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 2 0 2 0 2 0 0 0 2 0 0 2 0 2 2 2 2 2 0 0 0 2 2 2 0 2 2 0 0 0 2 0 2 2 0 0 2 2 0 0 2 2 2 0 2 0 0 2 2 0 0 2 0 0 2 0 0 0 0 2 2 2 0 2 2 2 0 0 2 2 2 0 2 0 2 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 0 2 2 0 2 2 2 2 2 2 0 2 0 0 0 2 0 0 0 2 0 0 2 0 0 2 0 0 0 2 0 2 0 2 0 2 2 2 2 0 0 0 2 2 2 0 2 0 2 2 2 0 0 2 0 0 2 2 2 0 2 0 0 0 generates a code of length 85 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+53x^76+125x^78+8x^79+153x^80+48x^81+218x^82+120x^83+244x^84+160x^85+238x^86+120x^87+204x^88+48x^89+127x^90+8x^91+95x^92+45x^94+8x^96+4x^98+6x^100+8x^102+2x^104+3x^106+1x^108+1x^140 The gray image is a code over GF(2) with n=340, k=11 and d=152. This code was found by Heurico 1.16 in 0.924 seconds.