Prime p₀= 1117705366453358099 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: Theadalus
db: batch=76, k=10, 2 16 2 10 2

STPT(10)	1117704228544797767	0 2 30 32 42 44 54 56 84 86	-1137908560332
SPT(16)	1117704307211976857	0 24 42 62 104 126 140 174 182 216 230 252 294 314 332 356	-1059241381242
STPT(10)	1117704465784228349	0 2 18 20 30 32 42 44 60 62	-900669129750
SPT(16)	1117704589742478239	0 14 60 78 102 134 144 152 210 218 228 260 284 302 348 362	-776710879860
STPT(10)	1117704739434507281	0 2 30 32 78 80 126 128 156 158	-627018850818
SPT(16)	1117705272426289199	0 30 38 48 72 78 90 182 198 290 302 308 332 342 350 380	-94027068900
SPT(16)	1117705437433801637	0 42 56 66 80 102 116 126 200 210 224 246 260 270 284 326	70980443538
SPT(16)	1117705459308562979	0 12 38 78 110 122 140 170 192 222 240 252 284 324 350 362	92855204880
SPT(16)	1117705690947567389	0 20 38 42 48 50 78 110 192 224 252 254 260 264 282 302	324494209290
SPT(16)	1117705717605628079	0 24 32 42 54 74 110 140 144 174 210 230 242 252 260 284	351152269980
SPT(16)	1117705900670564981	0 42 98 122 146 222 266 270 278 282 326 402 426 450 506 548	534217206882