This is the 3th of a series of papers on low X-ray luminosity galaxy clusters in which we present Weak Lensing Mass reconstructions based on the photometric images ... We develop a weak gravitational lensing analysis pipeline based on several public domain packages .. The Weak Lensing analysis pipeline is tested on a simulated images of a galaxy cluster field developed for the DES survey, providing a recovery of the (induced or injected) mass distribution with high ... The high quality images allow us to reconstruct the projected mass density profiles showing ... Our results indicate ...