Prime p₀= 2161016774003773241 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 28 2 28 2 76 2 (?)
a_n: 0 2 78 80 108 110 138 140 216 218
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: 218
Found by: Landjunge
db: batch=81, k=10, 2 76 2 28 2

SPT(16)	2161016114491722247	0 4 36 114 162 172 180 196 300 316 324 334 382 460 492 496	-659512050994
SPT(16)	2161016115800935147	0 6 30 34 40 42 102 124 132 154 214 216 222 226 250 256	-658202838094
SPT(16)	2161016155870178407	0 52 76 84 114 142 196 216 220 240 294 322 352 360 384 436	-618133594834
SPT(16)	2161016230633956719	0 72 90 108 114 140 182 188 294 300 342 368 374 392 410 482	-543369816522
STPT(10)	2161016361845941289	0 2 18 20 30 32 42 44 60 62	-412157831952
STPT(10)	2161016664710204921	0 2 6 8 48 50 90 92 96 98	-109293568320
SPT(13)	2161017268363434989	0 18 48 78 198 228 270 312 342 462 492 522 540	494359661748
SPT(16)	2161017269407867147	0 4 40 60 72 82 84 102 124 142 144 154 166 186 222 226	495404093906
SPT(13)	2161017822734934967	0 66 84 90 96 126 180 234 264 270 276 294 360	1048731161726
SPT(16)	2161017940402250933	0 6 66 78 80 98 110 138 176 204 216 234 236 248 308 314	1166398477692
STPT(10)	2161018091976541661	0 2 6 8 108 110 210 212 216 218	1317972768420