The generator matrix 1 0 1 1 1 X^2+X 1 1 X^2+2 1 X+2 1 1 1 0 1 1 X^2+X X^2+2 1 1 1 1 X+2 1 1 0 1 1 X^2+X 1 1 X^2+2 1 X+2 1 1 0 1 X^2+X 1 1 1 1 X^2+2 1 1 X+2 1 1 0 1 X^2+X 1 1 1 0 X^2+X 1 1 1 1 2 1 X^2+X+2 1 1 1 X^2+2 X^2+2 1 1 1 1 1 X+2 X+2 1 2 X^2+X+2 1 1 X^2+X X^2+X+2 1 1 1 1 1 1 X^2 1 1 1 1 X 0 1 X+1 X^2+X X^2+1 1 X^2+2 X^2+X+3 1 X+2 1 3 X+1 0 1 X^2+X X^2+1 1 1 X^2+2 X^2+X+3 X+2 3 1 0 X+1 1 X^2+X X^2+1 1 X^2+2 X^2+X+3 1 3 1 X+2 X^2+X+2 1 X+1 1 0 X^2+1 X X^2+X+3 1 X^2+2 3 1 0 X+1 1 X^2+1 1 X^2+X X+2 X+3 1 1 2 X^2+3 0 X+1 1 X^2+1 1 X^2+X X^2+2 X^2+X+3 1 1 3 X^2+X X^2+2 X^2+X+3 X^2+3 1 1 2 1 1 X^2+X+1 X+2 1 1 X+2 X^2+X+2 0 2 X X^2 1 X^2+X X^2+X+2 X^2+X X^2+1 1 0 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 2 2 2 2 2 2 2 0 0 0 0 2 0 2 2 2 0 2 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 0 0 0 0 0 2 0 2 2 2 2 2 0 2 2 2 2 2 2 2 0 0 2 0 0 0 2 0 0 0 2 2 0 0 0 0 2 0 0 0 0 2 2 2 2 2 2 2 0 2 2 0 2 2 0 0 0 2 0 0 0 2 0 0 2 2 0 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 0 2 2 0 0 0 0 2 0 2 2 2 2 0 2 2 0 0 0 0 2 0 0 0 2 2 0 0 2 2 0 2 2 0 0 2 2 2 0 0 0 0 2 0 0 2 0 0 0 2 2 2 2 2 0 2 2 2 0 2 0 2 0 2 0 0 2 0 2 0 2 0 2 2 2 0 2 0 0 0 0 0 2 2 2 2 2 0 2 0 2 2 0 2 0 0 0 2 0 2 0 0 2 2 2 0 0 2 2 0 0 2 2 2 0 0 0 0 2 0 0 2 2 2 2 2 0 0 0 0 2 0 2 2 0 0 0 0 0 2 2 2 2 2 0 0 2 2 2 0 2 0 0 0 0 2 2 2 2 0 2 0 2 0 0 2 0 0 2 2 0 0 0 2 0 0 2 2 2 2 2 0 2 0 0 2 2 0 0 0 0 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 2 2 0 0 0 2 2 0 2 0 0 0 2 2 0 0 2 0 2 2 0 0 2 generates a code of length 96 over Z4[X]/(X^3+2,2X) 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.