Prime p₀= 2164273069838987291 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Landjunge
db: batch=81, k=10, 2 28 2 28 2

SPT(16)	2164271959666582613	0 56 74 84 144 180 198 200 234 236 254 290 350 360 378 434	-1110172404678
STPT(10)	2164272192060471629	0 2 42 44 90 92 138 140 180 182	-877778515662
SPT(16)	2164272226047731773	0 24 46 58 84 100 114 166 168 220 234 250 276 288 310 334	-843791255518
STPT(10)	2164272440723982731	0 2 6 8 18 20 30 32 36 38	-629115004560
TPT(14)	2164272627757885361	0 2 36 38 66 68 90 92 138 140 168 170 288 290	-442081101930
STPT(10)	2164272704086221887	0 2 54 56 72 74 90 92 144 146	-365752765404
SPT(16)	2164273077675814531	0 10 40 60 72 82 112 130 138 156 186 196 208 228 258 268	7836827240
STPT(10)	2164273247035295741	0 2 36 38 78 80 120 122 156 158	177196308450
SPT(16)	2164273321911921587	0 2 6 44 120 134 180 182 204 206 252 266 342 380 384 386	252072934296
SPT(16)	2164273342585133737	0 12 46 52 66 100 102 156 166 220 222 256 270 276 310 322	272746146446
SPT(16)	2164273978374096707	0 32 44 72 84 114 122 150 164 192 200 230 242 270 282 314	908535109416