The generator matrix 1 0 0 1 1 1 0 1 1 2 1 X 1 X+2 1 X+2 1 0 1 X+2 1 X 2 X 1 1 1 2 1 1 0 0 1 X X 1 1 X+2 X 1 1 1 1 1 1 X+2 0 1 0 X+2 2 X 1 0 2 1 X 1 1 0 1 2 2 1 1 1 1 1 1 1 1 1 2 1 2 1 1 1 2 1 0 1 X+2 X+2 X+2 1 1 1 0 1 0 0 1 1 1 2 1 1 X+1 X+2 X 1 X+2 1 X+3 X+2 X+1 1 2 1 1 X+2 2 3 X 1 X+1 X+2 1 2 1 1 1 X+2 3 2 0 0 X+1 0 X+3 X+1 X+2 1 X+2 3 1 1 1 1 X+2 1 1 0 1 X X+2 1 3 1 X 1 X+1 X 3 3 X 2 2 X+3 1 1 1 X+3 3 X+2 1 1 1 2 X 1 1 0 X 0 0 0 1 X+1 X+3 0 X+1 X 1 X 0 1 1 1 X 2 X+2 1 3 X+1 1 X+2 1 1 0 2 X+3 2 X+1 2 1 1 X X+3 X+2 0 X+1 1 1 1 X+3 1 0 X 3 2 1 X+3 1 3 X+2 X+1 X+2 X+1 X+2 X+1 X+2 1 2 X+1 X X+3 1 X X+1 X+2 X 1 X+2 X+2 X+2 3 X X 3 1 3 X+3 X+2 0 X 0 1 1 X X X 0 0 0 0 2 0 0 0 2 2 0 2 2 0 2 0 2 2 0 2 0 0 0 2 2 0 0 2 0 0 0 2 0 2 0 2 0 2 0 2 2 0 0 2 0 2 2 2 0 2 2 2 2 0 0 0 0 0 0 2 2 0 2 0 2 0 2 2 2 2 0 2 0 0 0 2 2 0 2 2 2 2 0 2 0 2 2 2 2 0 0 0 0 2 0 0 0 0 0 0 2 2 2 2 0 2 2 2 2 2 2 0 0 2 2 2 2 0 2 2 2 2 2 2 0 0 0 0 2 0 2 0 2 0 0 0 2 2 0 0 2 2 2 2 0 2 0 2 0 0 0 2 0 0 0 0 2 0 0 0 2 0 2 0 0 2 0 0 0 2 2 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 2 2 2 2 0 2 2 2 0 0 2 2 2 0 0 2 2 0 0 0 2 2 2 2 0 0 2 2 0 0 2 2 0 0 2 0 0 0 0 0 2 0 2 0 2 2 2 0 2 2 0 2 0 0 2 2 0 0 0 0 0 0 2 0 2 0 2 0 0 0 0 0 0 2 0 2 2 2 2 2 0 2 2 0 2 0 0 0 0 2 0 2 2 0 2 0 0 2 0 2 2 2 2 2 0 2 2 2 2 0 2 2 2 0 2 0 0 0 2 0 2 0 2 2 2 2 2 0 0 0 2 0 2 0 2 2 0 0 2 0 0 0 2 0 0 2 0 0 0 0 0 2 2 2 0 generates a code of length 88 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 80. Homogenous weight enumerator: w(x)=1x^0+223x^80+244x^81+420x^82+556x^83+537x^84+644x^85+692x^86+744x^87+656x^88+652x^89+546x^90+520x^91+423x^92+340x^93+208x^94+200x^95+195x^96+160x^97+88x^98+28x^99+59x^100+8x^101+28x^102+12x^104+2x^106+5x^108+1x^112 The gray image is a code over GF(2) with n=352, k=13 and d=160. This code was found by Heurico 1.16 in 6.74 seconds.