See https://english.stackexchange.com/questions/1155/what-is-the-rule-for-adjective-order for the equivalent question in English. I didn't find any discussion online of the order for multiple Chinese adjectives.
Searching for people asking the equivalent question for English in Chinese, there are some example sentences, for example at http://jingyan.baidu.com/article/fedf07371d781e35ac89773b.html we have:
two beautiful new green silk evening dress 两件又新又漂亮的丝绸女士晚礼服 that hungry, tired, sleepy little match girl 那个饥饿、疲劳、困倦的卖火柴的小女孩 an old large brick dining hall 一个旧的红砖砌的大餐厅
It can be seen that the order is slightly different - 新 comes before 漂亮, 小 after 卖火柴, 红砖砌 before 大 as opposed to beautiful before new, match after little, large before brick. Are there standard rules in Chinese?