The generator matrix 1 0 0 1 1 1 0 1 1 2 1 X 1 X+2 1 X X+2 1 1 2 1 X 1 1 X 1 X+2 1 1 2 2 1 X X+2 1 X+2 1 X 1 1 2 0 1 1 1 1 0 1 1 1 1 X+2 X+2 X+2 1 1 X 1 2 2 X+2 1 1 1 1 1 1 1 1 1 1 X 1 0 1 X+2 0 0 1 1 1 X+2 0 0 X+2 2 1 0 1 1 X X+2 0 X+2 X+2 1 0 1 0 0 1 1 1 2 1 1 X+1 X+2 X 1 X+2 1 1 1 0 X X+3 1 X X+1 0 2 1 X+3 X+2 1 0 X+2 1 1 X+1 1 1 0 3 X+1 1 1 X+2 2 X X+1 X X+3 0 2 X+3 0 X+2 1 X+1 1 X 3 0 1 1 3 X+2 X+2 3 X+1 X+2 1 3 X+3 2 1 2 2 X 2 1 X X+2 X+1 X+2 1 1 1 1 1 2 1 X+2 3 1 1 1 1 1 0 0 0 1 X+1 X+3 0 X+1 X 1 X 0 1 1 1 X X+2 X+1 X 1 1 1 0 3 X+3 1 0 1 X X+3 3 1 2 2 X+2 2 X+3 0 1 X+3 3 X+3 0 0 X+2 X+1 2 1 X+1 X+1 X+1 X 1 1 X 3 X+2 1 X+2 1 X+1 2 X+1 X+3 X+2 X+2 X+3 3 2 3 X+2 X X X+1 1 2 1 X+3 1 3 X X X+2 X X+1 3 1 1 3 3 1 X+1 X+2 X X+2 2 0 0 0 0 2 0 0 0 2 2 0 2 2 0 2 0 0 0 2 2 0 2 2 0 0 2 0 2 2 0 0 0 2 0 0 2 2 0 0 2 2 0 0 0 0 2 0 2 0 2 0 2 0 0 2 0 2 0 2 2 2 2 0 2 0 0 2 2 2 0 2 2 2 2 2 0 0 2 2 2 0 0 0 2 0 2 2 0 0 0 2 2 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 0 0 0 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 0 2 2 0 2 0 0 2 0 2 0 2 0 2 2 0 0 2 0 0 2 2 0 0 2 0 0 0 0 0 2 2 2 2 0 2 2 0 2 0 2 0 0 2 0 0 2 2 0 2 2 2 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 2 0 2 0 2 2 0 0 2 0 2 2 2 0 2 2 0 2 2 2 0 0 0 0 0 2 2 2 0 2 2 2 2 2 2 0 2 0 0 2 2 0 0 0 0 2 0 2 2 0 0 0 2 2 0 2 0 2 2 0 0 2 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 2 2 2 2 0 0 2 0 2 0 2 0 0 0 0 0 2 2 0 0 0 2 2 2 0 0 0 2 2 0 0 0 2 2 2 0 2 2 0 0 2 0 0 2 0 2 2 0 2 0 2 2 0 0 0 0 0 2 0 2 0 2 0 0 2 0 0 2 2 2 2 0 2 2 2 0 2 0 2 2 0 0 generates a code of length 96 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 88. Homogenous weight enumerator: w(x)=1x^0+323x^88+888x^90+1289x^92+1330x^94+1203x^96+998x^98+862x^100+598x^102+351x^104+194x^106+105x^108+24x^110+18x^112+8x^116 The gray image is a code over GF(2) with n=384, k=13 and d=176. This code was found by Heurico 1.16 in 10.7 seconds.