The generator matrix 1 0 0 1 1 1 0 1 X+2 X 1 X 1 1 1 X 1 2 X+2 1 1 2 1 1 1 X+2 1 0 X+2 X X 1 X+2 1 1 2 1 1 X+2 X 0 1 X+2 1 1 1 0 X+2 1 X 1 X 1 2 1 1 1 2 1 1 1 1 1 1 0 0 X+2 2 1 1 0 1 1 1 1 1 1 1 1 X X 2 1 X+2 1 1 1 1 0 1 0 0 1 1 1 X 1 X+2 X+2 1 3 X+1 X+2 1 X+3 X+2 1 X+1 2 1 0 3 X 1 X+1 1 0 0 1 3 1 3 2 1 X+3 X+1 1 1 1 2 X X+3 1 2 X+2 1 X+3 1 X 1 X X+2 X+3 0 X+1 1 0 X 2 X 2 2 0 X+2 2 1 1 3 1 0 X+3 X+3 X+1 X+2 0 2 3 0 1 1 0 1 X+3 X+2 0 X 0 0 1 X+1 X+3 0 X+1 3 2 1 0 1 1 0 X+3 X X+2 1 X+3 X+1 X 3 1 X+2 X X 3 0 1 1 0 X+3 1 2 1 X+1 2 3 X+3 X+2 3 X+2 1 X+3 X X+1 1 X+3 X+1 0 2 2 0 1 X+2 X+3 X X+3 2 X+2 0 1 3 X 1 1 1 X X 0 X 1 0 0 X+3 2 2 2 1 1 0 X+1 X X+2 0 3 X+3 X+2 0 0 0 2 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 0 2 2 2 0 0 2 2 2 0 0 2 2 0 0 0 0 0 0 2 0 2 2 0 2 0 0 0 0 2 2 2 0 0 2 2 2 2 2 0 2 0 0 0 2 2 2 0 2 0 0 2 0 2 0 0 2 0 0 0 0 2 0 2 2 0 2 2 0 0 2 0 2 0 2 0 2 2 2 2 2 0 2 0 0 0 2 0 2 2 2 2 0 2 2 0 2 2 2 2 0 2 0 0 0 0 2 2 2 2 0 0 2 2 2 0 2 0 0 0 0 2 0 2 2 0 2 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 2 2 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 0 0 2 2 2 0 2 0 2 0 0 0 2 2 2 0 0 2 2 2 0 0 2 2 0 2 2 0 0 0 2 2 2 0 0 2 0 0 2 0 2 2 0 2 2 0 2 2 0 0 0 2 0 2 0 0 0 2 2 0 2 2 0 0 0 0 0 2 2 2 0 0 2 2 generates a code of length 88 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 81. Homogenous weight enumerator: w(x)=1x^0+72x^81+208x^82+334x^83+410x^84+408x^85+380x^86+342x^87+341x^88+272x^89+224x^90+210x^91+149x^92+190x^93+154x^94+100x^95+96x^96+76x^97+40x^98+36x^99+25x^100+6x^101+14x^102+2x^103+2x^104+4x^106 The gray image is a code over GF(2) with n=352, k=12 and d=162. This code was found by Heurico 1.16 in 1.35 seconds.