2,4,6,8,10,12-Hexaallyl-2,4,6,8,10,12-hexaazaisowurtzitane (HALLIW) was obtained in a condensation reaction of glyoxal with allylamine in the presence of a protonic acid as a catalyst. Optimization of the synthesis was accomplished by means of, a mathematical experiment planning theory with the steepest descent method. The effect of the following parameters was examined: process temperature, amount of the catalyst, amount of the solvent, glyoxal addition time, reaction time, and the ratio of the substrates. As a result of the study an improved yield was achieved from 20 to 66.5%. The highest yield for the reaction was found for the conditions (mole ratios relative to glyoxal): catalyst (formic acid) 0.1:1; solvents: acetonitrile 9.35:1, water 0.18:1; allylamine 2.2:1; temperature 15 degrees C; glyoxal addition time 15 min, reaction time 60 min. The studies were conducted on a small laboratory scale where the yield and purity of the product obtained were examined. A method was developed for purification of HALLIW. NMR, IR spectroscopy, DSC, and TG analyses were employed in the study and their results are reported.