The process whose specific outcome is the progression of a pronephric nephron tubule over time, from its formation to the mature structure. The pronephric nephron tubule is an epithelial tube that is part of the pronephric nephron and connects the filtration unit (glomerulus or glomus) of the pronephros to the pronephric duct. [ http://www.ncbi.nlm.nih.gov/pubmed/19909807 http://www.ncbi.nlm.nih.gov/pubmed/9268568 GOC:mtg_kidney_jan10 ]