Particular applications of Privacy by Design (PbD) have proven to be valuable tools to protect privacy in many technological applications. However, PbD is not as promising when applied to technologies used for surveillance. After specifying how surveillance and privacy are understood in this paper, I will highlight the shortcomings of PbD when applied to surveillance, using a web-scanning system for counter-terrorism purposes as an example. I then suggest reworking PbD into a different approach: the Minimum Harm by Design (MHbD) model. (...) MHbD differs from PbD principally in that it acknowledges that the potential harms of surveillance bear not only upon privacy but also values that define the very constitution of a society and its political character. MHbD aims to identify and systematise the different categories of such harms and links them to current theories on surveillance on the one hand and on possible design measures on the other. (shrink)