Prime p₀= 2313702320166719159 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 62
Found by: Orange Kid
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2313700486957222591	0 30 42 48 60 100 148 156 172 180 228 268 280 286 298 328	-1833209496568
SPT(16)	2313700769723048089	0 4 28 42 60 72 88 90 112 114 130 142 160 174 198 202	-1550443671070
TPT(14)	2313702009677605229	0 2 18 20 42 44 48 50 72 74 138 140 180 182	-310489113930
STPT(10)	2313702031971052571	0 2 30 32 60 62 90 92 120 122	-288195666588
STPT(10)	2313702307733220401	0 2 6 8 48 50 90 92 96 98	-12433498758
STPT(10)	2313702313329033719	0 2 78 80 120 122 162 164 240 242	-6837685440
STPT(10)	2313702719288919851	0 2 6 8 48 50 90 92 96 98	399122200692
SPT(16)	2313703118621827019	0 42 62 68 72 110 120 152 198 230 240 278 282 288 308 350	798455107860
STPT(10)	2313703253097822041	0 2 30 32 78 80 126 128 156 158	932931102882
STPT(10)	2313703444801615577	0 2 42 44 72 74 102 104 144 146	1124634896418
TPT(14)	2313703496486494589	0 2 42 44 120 122 162 164 198 200 372 374 402 404	1176319775430