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 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 X 1 1 1 1 1 1 1 1 1 1 1 1 X^2 1 1 1 1 1 1 0 1 1 X 0 X^2+2 0 X^2+2 0 X^2+2 0 X^2+2 0 X^2+2 0 X^2+2 0 X^2+2 0 X^2+2 0 X^2+2 0 X^2+2 0 X^2+2 0 X^2+2 0 X^2+2 0 X^2+2 0 X^2+2 0 X^2+2 2 X^2 2 X^2 2 X^2 2 X^2 2 X^2 2 X^2 2 X^2 2 X^2 2 X^2 2 X^2 2 X^2 2 X^2 2 X^2 2 X^2 2 X^2 2 X^2 X^2+2 X^2+2 X^2+2 X^2 X^2+2 0 X^2+2 0 X^2+2 0 X^2+2 0 X^2+2 2 X^2 0 X^2+2 X^2+2 2 X^2 0 2 0 0 X^2 2 X^2+2 X^2+2 0 0 2 0 0 0 2 0 0 0 0 0 2 0 2 0 0 2 0 2 0 2 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 0 2 2 2 0 0 0 2 0 0 2 2 0 0 0 2 0 0 0 2 0 0 0 0 0 2 0 2 2 2 2 2 2 2 2 2 2 0 2 0 2 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 2 0 2 0 2 0 2 0 2 2 0 2 0 2 0 2 0 2 2 0 0 0 0 2 0 2 0 0 2 2 2 2 2 0 2 2 0 2 0 0 2 0 2 0 2 0 2 2 0 2 0 0 0 0 0 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 0 0 0 0 0 2 2 2 0 2 2 0 0 0 0 0 2 2 2 2 0 0 0 2 2 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 2 0 2 2 0 0 2 2 2 2 0 0 0 0 2 2 2 2 0 0 0 0 2 2 2 2 0 0 0 0 2 2 2 2 0 0 0 0 2 2 2 2 0 0 0 0 2 2 2 2 0 0 0 2 2 0 0 0 2 2 0 0 2 2 0 0 2 0 2 0 0 2 2 0 0 2 0 0 2 0 generates a code of length 92 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 88. Homogenous weight enumerator: w(x)=1x^0+70x^88+96x^90+256x^91+188x^92+256x^93+96x^94+51x^96+4x^100+5x^104+1x^168 The gray image is a code over GF(2) with n=736, k=10 and d=352. This code was found by Heurico 1.16 in 0.953 seconds.