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An $\ell$-good sequencing of an STS$(v)$ is a permutation of the points ofthe design such that no $\ell$ consecutive points in this permutation contain ablock of the design. We prove that, for every integer $\ell \geq 3$, there isan $\ell$-good sequencing of any STS$(v)$ provided that $v$ is sufficientlylarge. We also prove some new nonexistence results for $\ell$-good sequencingsof STS$(v)$.

Block-avoiding point sequencings of arbitrary length in Steiner triple systems