In this paper, we consider the physics performance of a single far detector composed of a 100 kton next generation Liquid Argon Time Projection Chamber (LAr TPC) possibly located at shallow depth, coupled to the J-PARC neutrino beam facility with a realistic 1.66 MW operation of the Main Ring. The new far detector could be located in the region of Okinoshima islands (baseline $Lsim 658$ km). Our emphasis is based on the measurement of the $theta_{13}$ and $delta_{CP}$ parameters, possibly following indications for a non-vanishing $theta_{13}$ in T2K, and relies on the opportunity offered by the LAr TPC to reconstruct the incoming neutrino energy with high precision compared to other large detector technologies. We mention other possible baselines like for example J-PARC-Kamioka (baseline $Lsim 295$ km), or J-PARC-Eastern Korean coast (baseline $Lsim 1025$ km). Such a detector would also further explore the existence of proton decays.
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