Smallest Integer which is Product of 4 Triples all with Same Sum/Mistake

Source Work

 * The Dictionary
 * $25,200$
 * $25,200$

Mistake

 * The smallest number which can be written as the product of $4$ triples, each with the same sum ... The common sum is $137$. [Mauldron, AMM v88]

Correction
The citation is incorrect. The mathematician in question is in fact .

It also needs to be noted that the cited result in the was in fact for $5$ such triples, not $4$.