The generator matrix 1 0 1 1 1 3X+2 1 1 2 1 3X 1 1 1 0 1 1 3X+2 2 1 1 1 1 3X 1 1 0 1 1 3X+2 1 1 2 1 3X 1 1 0 1 3X+2 1 1 1 1 2 1 1 3X 1 1 0 1 3X+2 1 1 1 0 3X+2 1 1 1 1 2X 1 X+2 1 1 1 2 2 1 1 1 1 1 3X 3X 1 2X X+2 1 1 3X+2 X+2 1 1 1 1 1 1 2X+2 1 1 1 1 X 0 1 X+1 3X+2 2X+3 1 2 X+3 1 3X 1 2X+1 X+1 0 1 3X+2 2X+3 1 1 2 X+3 3X 2X+1 1 0 X+1 1 3X+2 2X+3 1 2 X+3 1 2X+1 1 3X X+2 1 X+1 1 0 2X+3 X X+3 1 2 2X+1 1 0 X+1 1 2X+3 1 3X+2 3X 3X+1 1 1 2X 3 0 X+1 1 2X+3 1 3X+2 2 X+3 1 1 2X+1 3X+2 2 X+3 3 1 1 2X 1 1 3X+3 3X 1 1 3X X+2 0 2X X 2X+2 1 3X+2 X+2 3X+2 2X+3 1 0 0 2X 0 0 0 0 0 0 0 0 0 0 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 0 0 0 0 0 0 2X 2X 2X 2X 2X 2X 2X 0 0 0 0 2X 0 2X 2X 2X 0 2X 0 0 0 0 0 0 2X 2X 2X 2X 2X 2X 2X 2X 2X 0 0 0 0 0 2X 0 2X 2X 2X 2X 2X 0 2X 2X 2X 2X 2X 2X 2X 0 0 2X 0 0 0 2X 0 0 0 2X 2X 0 0 0 0 2X 0 0 0 0 2X 2X 2X 2X 2X 2X 2X 0 2X 2X 0 2X 2X 0 0 0 2X 0 0 0 2X 0 0 2X 2X 0 2X 2X 2X 2X 2X 2X 2X 2X 0 0 0 0 0 0 0 0 0 2X 2X 2X 2X 0 0 2X 0 2X 2X 0 0 0 0 2X 0 2X 2X 2X 2X 0 2X 2X 0 0 0 0 2X 0 0 0 2X 2X 0 0 2X 2X 0 2X 2X 0 0 2X 2X 2X 0 0 0 0 2X 0 0 2X 0 0 0 2X 2X 2X 2X 2X 0 2X 2X 2X 0 2X 0 2X 0 2X 0 0 2X 0 2X 0 2X 0 2X 2X 2X 0 2X 0 0 0 0 0 2X 2X 2X 2X 2X 0 2X 0 2X 2X 0 2X 0 0 0 2X 0 2X 0 0 2X 2X 2X 0 0 2X 2X 0 0 2X 2X 2X 0 0 0 0 2X 0 0 2X 2X 2X 2X 2X 0 0 0 0 2X 0 2X 2X 0 0 0 0 0 2X 2X 2X 2X 2X 0 0 2X 2X 2X 0 2X 0 0 0 0 2X 2X 2X 2X 0 2X 0 2X 0 0 2X 0 0 2X 2X 0 0 0 2X 0 0 2X 2X 2X 2X 2X 0 2X 0 0 2X 2X 0 0 0 0 2X 2X 2X 2X 2X 2X 2X 2X 2X 0 0 0 0 0 0 0 2X 2X 0 0 0 2X 2X 0 2X 0 0 0 2X 2X 0 0 2X 0 2X 2X 0 0 2X generates a code of length 96 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 91. Homogenous weight enumerator: w(x)=1x^0+200x^91+406x^92+632x^93+176x^94+448x^95+370x^96+448x^97+176x^98+632x^99+402x^100+200x^101+2x^104+1x^120+1x^128+1x^136 The gray image is a code over GF(2) with n=768, k=12 and d=364. This code was found by Heurico 1.16 in 1.14 seconds.