The last words of the model will hopefully nudge the solver into the proper direction. Once the runway is properly arranged (order shown below), the solver may notice that each piece has 0, 1, or 2 additional ends that do not connect. In runway order, these are: 202100111012220100200120112111001112. Taken 3 at a time and converting ternary to decimal to standard alphabet, you get the answer TIMEX IRONMAN.