Prime p₀= 2005990496564828531 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Orange Kid
db: batch=80, k=10, 2 4 2 10 2

SPT(16)	2005989896312458603	0 60 70 78 84 156 184 210 214 240 268 340 346 354 364 424	-600252369928
SPT(16)	2005989964231504543	0 34 36 40 64 66 76 90 154 168 178 180 204 208 210 244	-532333323988
STPT(10)	2005990013383043879	0 2 42 44 120 122 198 200 240 242	-483181784652
STPT(10)	2005990118736259067	0 2 24 26 42 44 60 62 84 86	-377828569464
SPT(16)	2005990165432940807	0 30 84 96 116 152 156 242 264 350 354 390 410 422 476 506	-331131887724
SPT(16)	2005990355105003021	0 2 30 60 98 102 108 146 192 230 236 240 278 308 336 338	-141459825510
TPT(14)	2005990514988676547	0 2 42 44 90 92 204 206 210 212 282 284 300 302	18423848016
SPT(16)	2005991187088410083	0 6 14 20 48 108 144 146 168 170 206 266 294 300 308 314	690523581552
SPT(16)	2005991364414741937	0 10 60 94 114 120 126 136 210 220 226 232 252 286 336 346	867849913406
SPT(16)	2005991860845577301	0 12 20 90 102 152 188 198 212 222 258 308 320 390 398 410	1364280748770
SPT(16)	2005991913986507207	0 36 54 56 80 90 144 146 180 182 236 246 270 272 290 326	1417421678676