The fifty letters found at Tell Harmal can provide a significant evidence on the relationships among citizens, local authorities and the Palace in the kingdom of Ešnunna. They also offer important elements for a study of the Ešnunna old Babylonian grammar. For these reasons these texts have been selected as a first step in the e-Shnunna Project, that is part of the most complex TIGRIS Project. In this project, beside the assyriological methodologies, ENEA-GRID facilities are employed: they include an innovative approach to the study of cuneiform corpora by a software application for Text Analysis (TaLTaC2) and Data Mining tools (ASTEC). In this paper, some preliminary results, obtained mainly thanks the experimental analysis, are presented. A detailed description of procedures and systems employed in studying documents is also given and the general project is synthetically presented.