Prime p₀= 2027308562227716767 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: MarkRBright
db: batch=80, k=10, 2 22 2 16 2

STPT(12)	2027308154572802639	0 2 30 32 42 44 180 182 192 194 222 224	-407654914128
TPT(14)	2027308271136421289	0 2 162 164 168 170 228 230 240 242 252 254 300 302	-291091295478
SPT(16)	2027308319126675311	0 18 46 60 72 88 100 102 136 138 150 166 178 192 220 238	-243101041456
SPT(16)	2027308424018251769	0 50 62 84 90 104 110 134 168 192 198 212 218 240 252 302	-138209464998
SPT(16)	2027308442419600117	0 10 16 24 30 42 60 84 112 136 154 166 172 180 186 196	-119808116650
SPT(16)	2027308504363867859	0 8 14 18 32 44 60 198 224 362 378 390 404 408 414 422	-57863848908
SPT(16)	2027309200463571617	0 42 54 92 102 104 120 150 176 206 222 224 234 272 284 326	638235854850
SPT(16)	2027309542297135823	0 20 38 68 74 110 150 180 284 314 354 390 396 426 444 464	980069419056
STPT(10)	2027310012839353181	0 2 36 38 78 80 120 122 156 158	1450611636414
SPT(16)	2027310180440377087	0 22 52 154 190 244 282 294 352 364 402 456 492 594 624 646	1618212660320
SPT(16)	2027310225685058563	0 18 34 78 90 198 214 226 228 240 256 364 376 420 436 454	1663457341796