Prime p₀= 2112236183882388017 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: Landjunge
db: batch=80, k=10, 2 22 2 16 2

SPT(16)	2112235234069903291	0 10 18 72 96 136 172 238 240 306 342 382 406 460 468 478	-949812484726
STPT(10)	2112235479607820597	0 2 30 32 60 62 90 92 120 122	-704274567420
STPT(10)	2112235507146185117	0 2 30 32 72 74 114 116 144 146	-676736202900
SPT(16)	2112235518021697099	0 12 42 58 64 70 78 82 180 184 192 198 204 220 250 262	-665860690918
TPT(14)	2112235956051353849	0 2 78 80 132 134 138 140 210 212 342 344 378 380	-227831034168
TPT(14)	2112236013006030011	0 2 126 128 168 170 198 200 258 260 300 302 336 338	-170876358006
SPT(16)	2112236296178822213	0 54 60 86 108 116 140 186 218 264 288 296 318 344 350 404	112296434196
STPT(10)	2112236553071290661	0 2 30 32 120 122 210 212 240 242	369188902644
STPT(10)	2112236813425429697	0 2 30 32 42 44 54 56 84 86	629543041680
STPT(10)	2112236979609424277	0 2 30 32 42 44 54 56 84 86	795727036260
STPT(10)	2112237013032456839	0 2 42 44 90 92 138 140 180 182	829150068822