The generator matrix 1 0 1 1 1 X+2 1 1 0 1 X+2 1 1 1 0 1 1 X+2 1 X+2 1 1 0 1 1 0 1 1 1 1 X+2 1 X 1 1 1 0 X 1 1 1 1 1 1 2 1 1 1 1 1 0 1 1 1 1 1 1 X+2 1 1 X+2 0 X X+2 2 1 X 1 0 X 1 1 1 1 1 1 1 2 X+2 X X X 1 X 1 1 X 0 1 X+1 X+2 1 1 0 X+1 1 3 1 X+2 X+1 0 1 3 X+2 1 X+1 1 0 3 1 X X+1 1 0 X+2 X+2 1 1 0 1 X+1 2 3 1 1 3 0 X+2 X+2 X+3 2 1 X+2 2 X X 2 1 X+2 0 1 0 X+2 X 1 3 0 1 1 1 1 1 X+3 X X+2 1 X+2 0 2 X+3 0 1 2 X+1 X 1 1 1 0 2 1 X+1 X+3 0 0 0 2 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 2 2 0 2 2 0 0 0 0 2 2 0 2 2 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 2 2 0 2 0 2 0 2 0 2 2 0 2 2 2 2 0 0 2 2 2 2 2 2 2 2 0 2 2 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 2 0 2 2 0 2 2 0 2 0 2 2 2 2 2 2 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 0 0 2 0 2 0 2 2 0 2 2 0 2 0 2 0 2 2 0 0 0 2 0 0 2 2 2 2 0 0 2 2 2 2 2 2 0 0 2 2 2 2 2 0 0 0 0 0 2 0 0 2 2 2 0 2 2 0 0 2 0 0 2 2 0 0 0 2 2 0 2 2 0 0 0 0 2 2 0 2 0 0 2 0 0 2 2 0 0 0 2 0 2 0 0 0 2 2 0 0 0 0 2 2 2 0 2 0 0 0 2 2 2 0 0 2 2 0 0 2 2 2 2 2 0 2 2 2 0 0 0 0 0 0 0 0 2 0 2 0 2 2 0 0 2 2 0 2 2 0 2 2 2 0 2 2 0 0 2 0 0 0 2 2 2 2 2 2 0 0 2 0 0 0 0 2 0 0 2 2 0 2 2 2 2 0 2 2 0 2 2 2 0 0 0 2 2 0 2 0 0 0 0 2 0 0 0 0 0 2 2 2 2 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 2 0 2 2 0 0 2 0 0 0 0 0 2 2 2 2 2 0 0 0 0 0 0 2 2 2 2 0 2 2 0 2 2 2 0 2 0 0 2 0 2 2 0 2 0 2 0 0 2 0 2 0 2 2 0 0 0 0 2 0 0 2 2 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+102x^80+72x^81+138x^82+188x^83+165x^84+200x^85+112x^86+140x^87+160x^88+184x^89+136x^90+148x^91+101x^92+56x^93+56x^94+36x^95+32x^96+6x^98+5x^100+5x^104+1x^108+3x^112+1x^120 The gray image is a code over GF(2) with n=348, k=11 and d=160. This code was found by Heurico 1.16 in 0.675 seconds.