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 X^2+2 1 1 1 1 X+2 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 X 1 1 1 0 2 2 1 1 1 1 1 0 1 1 1 1 X^2+X X^2+X+2 1 1 X+2 X 1 1 0 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 1 X+1 1 0 X^2+1 1 X^2+2 X^2+X+3 X+2 3 1 0 X^2+X+2 2 X 0 X^2 X^2+X X^2+X X+2 X^2+2 X^2 X^2 2 X^2+X+2 X+2 X X^2+X+2 X^2 X+2 2 X+1 X+1 2 1 1 1 X+3 X X^2+1 X^2 X^2+3 1 X^2 X^2+X X^2+1 X 1 1 X^2+2 X+3 1 0 X+2 X+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 2 2 2 0 0 2 0 2 2 0 2 0 0 0 0 2 0 2 0 0 2 2 2 0 2 0 0 2 0 0 2 0 2 2 0 0 2 2 2 0 0 2 0 2 0 0 0 2 0 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 0 2 2 2 2 2 2 2 0 0 0 2 0 0 0 2 0 0 0 0 0 2 2 0 0 2 2 2 0 2 0 0 2 2 2 0 2 0 0 2 2 0 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 2 2 0 0 2 2 2 2 0 0 0 0 2 2 0 0 2 0 0 2 2 2 0 0 0 2 0 2 2 2 0 2 2 0 0 2 2 0 0 0 0 0 2 0 2 0 2 0 2 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 0 2 0 0 2 0 0 2 2 2 2 2 0 2 2 0 0 2 2 0 2 0 0 2 2 2 0 2 0 2 0 2 2 0 2 0 2 0 0 0 0 2 2 2 2 2 2 2 0 2 2 2 2 2 0 0 0 0 generates a code of length 93 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 88. Homogenous weight enumerator: w(x)=1x^0+318x^88+96x^89+712x^90+192x^91+537x^92+448x^93+590x^94+192x^95+552x^96+96x^97+276x^98+61x^100+22x^102+1x^120+2x^132 The gray image is a code over GF(2) with n=744, k=12 and d=352. This code was found by Heurico 1.16 in 1.3 seconds.