In the autumn of 2020, Williams was tasked with examining the phone of a female suspect he told Street was "quite fit".
Street asked him if there were "any nudes", and Williams replied there was a video of the woman committing a sexual act. Williams went on to send Street a photo from the woman's phone.
The following year, Street asked on WhatsApp if Williams still had the intimate private video because he wanted to show it to "the lads from footy".
Reading her victim personal statement in court, the woman said: "The photographs and videos on my phone were deeply private and intimate.
"Learning that people in positions of authority deliberately accessed and circulated these images has left me feeling exposed, degraded and powerless."
Mitigating, Jennifer Dempster KC said Street "enormously regrets his behaviour", adding: "He recognises he has not only let the public down, he has let the police down and he has let his family down."
For Williams, Robert Morris said: "He recognises what he did was deeply inappropriate, driven by misguided and stupid desire to engage in salacious gossip."
Senior specialist prosecutor Lisa Rose, from the CPS, said: "Police officers are entrusted with significant powers and are expected to uphold the highest standards at all times.
"The actions of Paul Street and Joshua Williams represented a serious breach of that trust."
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