The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X X X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 2 0 2 0 2 0 2 0 2 2 0 2 0 2 0 0 0 2 2X+2 2X 2 2X 2X+2 0 2 2X 2X+2 0 2 2X 2X+2 2 2 2 2X+2 2X 2X+2 0 2 2X 2X+2 2X 2X+2 0 2 2X 2X+2 0 2X 2X+2 0 2X 2X+2 0 0 2X 2X 0 2X 2X 0 0 2X 2X 2 2 2 0 0 0 2X 2X 2X+2 2 2 2X+2 2 2X+2 2X+2 0 2 2 2X+2 2 2X+2 2X 0 2X 0 2X+2 2 2 2X+2 2X+2 2X 0 0 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2X 2X 2X 0 2X 0 2X 2X 0 2X 0 2X 2X 2X 2X 0 0 2X 2X 0 0 2X 2X 2X 2X 0 0 0 2X 2X 2X 0 0 0 2X 2X 0 0 2X 2X 0 2X 2X 0 0 2X 2X 2X 0 2X 0 0 2X 0 2X 2X 0 0 2X 2X 0 2X 0 2X 0 0 2X 2X 2X 0 2X 2X 2X 2X 0 0 0 0 2X 0 0 0 2X 0 0 0 0 2X 2X 2X 2X 2X 2X 0 2X 2X 2X 2X 0 0 2X 2X 0 2X 2X 0 0 2X 2X 0 0 2X 2X 2X 2X 0 0 0 0 0 0 2X 2X 0 2X 2X 2X 0 0 2X 2X 0 0 2X 0 2X 2X 0 2X 0 0 2X 2X 2X 2X 0 0 0 2X 2X 2X 0 0 2X 2X 2X 2X 0 0 0 2X 0 0 0 0 0 2X 0 2X 2X 2X 0 0 0 0 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 2X 2X 2X 0 0 0 2X 0 2X 0 0 2X 0 2X 2X 2X 2X 2X 0 0 2X 2X 0 0 2X 2X 2X 2X 0 0 2X 0 2X 0 2X 0 2X 0 0 2X 2X 0 2X 2X 0 0 2X 2X 0 2X 2X 2X 0 0 2X 2X 2X 0 2X 2X 0 0 2X 2X 0 0 2X 2X 0 2X 2X 0 2X 2X 0 0 2X 0 0 0 0 0 0 2X 0 2X 2X 0 2X 2X 2X 2X 0 2X 0 0 2X 2X 0 2X 0 2X 2X 0 2X 0 2X 0 2X 0 2X 0 0 2X 0 0 2X 2X 0 0 0 0 2X 2X 2X 2X 2X 2X 0 0 0 2X 0 0 0 0 0 0 0 2X 2X 2X 2X 2X 0 2X 2X 2X 2X 2X 2X 2X 0 2X 2X 0 0 0 0 2X 0 0 0 0 0 2X 2X 0 0 0 2X 2X 0 0 0 0 0 0 0 0 2X 0 2X 2X 2X 0 2X 0 2X 2X 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2X 2X 2X 2X 0 2X 2X 0 0 2X 2X 0 2X 0 0 2X 2X 2X 0 0 0 2X 2X 2X 0 2X 0 2X 2X 2X 2X 0 0 2X 2X 2X 0 0 0 0 2X 0 2X 2X 2X 0 0 0 0 2X 2X 0 2X 0 2X 0 2X 2X 2X 0 0 2X 2X 2X generates a code of length 96 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 90. Homogenous weight enumerator: w(x)=1x^0+58x^90+63x^92+202x^94+1413x^96+198x^98+54x^100+50x^102+1x^104+3x^108+4x^110+1x^184 The gray image is a code over GF(2) with n=768, k=11 and d=360. This code was found by Heurico 1.16 in 3.22 seconds.