The generator matrix 1 0 0 1 1 1 X 1 X+2 1 1 2 1 X+2 1 2 1 0 X+2 1 1 1 1 X X+2 1 1 1 X+2 1 1 1 0 X+2 X X 1 1 2 2 1 1 1 0 X+2 1 1 1 1 1 X X 0 1 1 1 1 1 1 1 1 X+2 1 X 1 1 X+2 1 0 1 1 X 0 0 0 2 1 2 1 0 1 X 2 2 X 0 X 1 0 1 0 0 1 X+3 1 2 0 2 X+1 1 3 1 2 1 X+2 1 X+2 X+1 X 3 X+2 2 1 1 1 X 1 X X+1 2 1 1 0 1 0 X+3 1 0 1 3 0 1 X+2 X+1 X+3 1 2 1 1 2 1 3 0 X+2 X+1 X X+1 2 X+2 1 X+1 1 X 0 1 X+1 1 1 X+2 2 X 0 X X 1 X+2 1 1 X+1 1 1 1 1 2 1 X 0 0 1 1 X+1 0 1 X+1 1 X 3 3 2 0 0 X 1 X+3 1 X+3 X+2 X+2 X+1 1 3 X+2 3 0 2 X X+3 X+1 X+2 1 1 X+2 X+3 3 X+1 1 X+1 2 0 2 1 X+3 X X+2 1 3 X+1 1 0 X+2 2 X+1 X+2 X X X+1 X+2 X 1 2 0 X X+2 X+1 X+3 X+2 3 1 1 1 1 1 1 1 1 X 0 2 X+2 2 X+3 X X+3 1 0 0 0 X X X+2 2 X+2 0 0 X 0 X 0 X 2 X 2 2 X X X+2 X+2 0 0 X X+2 X 2 X X+2 X+2 2 X+2 X X 2 2 X+2 X 0 0 2 X X+2 2 0 0 0 2 0 X X 0 2 2 X 2 2 2 0 0 X+2 X+2 0 0 X+2 0 X X+2 X+2 X X 0 0 0 X X X X+2 X X+2 X 2 X+2 X+2 X+2 0 0 0 0 0 2 0 0 2 2 2 0 2 2 2 0 2 0 2 2 2 2 2 2 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 2 2 2 0 0 2 0 2 2 0 2 0 2 0 2 2 2 2 0 0 2 2 2 2 2 0 2 0 2 0 0 0 0 2 2 2 2 2 0 0 2 2 0 2 0 0 2 0 2 0 0 0 0 0 0 2 2 0 0 0 0 2 0 2 2 0 2 0 2 2 2 2 2 2 0 0 2 0 2 0 0 2 0 0 0 2 0 2 0 2 0 2 2 2 2 2 2 0 2 0 2 0 0 0 2 0 2 2 0 2 0 0 2 0 2 0 0 2 2 0 0 2 0 2 0 2 0 0 2 0 2 0 0 2 2 0 0 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+163x^80+280x^81+559x^82+436x^83+696x^84+588x^85+672x^86+592x^87+734x^88+532x^89+622x^90+464x^91+402x^92+328x^93+386x^94+244x^95+177x^96+60x^97+107x^98+52x^99+49x^100+4x^101+18x^102+4x^103+13x^104+4x^106+5x^108 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 4.72 seconds.