If your gene with the 3' end His tag is cloned in a plasmid, try to re-order a sequencing primer a little closer to the 3' end. Then re-sequence it. The 'readable' sequencing result should now cover the 3' end, the His tag codon.
Yes, I am guessing you have cloned your gene with 3'end His tag into a sequencing vector, then used one of their universal primers for sequencing (5' to 3'). Sometimes, the sequencing machine can only give you roughly 500-600 bp readable results. In this case, you can re-design a primer a little closer to the 3' end (it might located in your gene) to give you more readable sequencing results at the 3' end to cover the His tag bases.