Prime p₀= 2127770713177396289 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: retroactivemind
db: batch=80, k=10, 2 28 2 28 2

STPT(10)	2127768993779802797	0 2 30 32 72 74 114 116 144 146	-1719397593492
SPT(16)	2127769133740209889	0 52 70 90 138 144 178 210 262 294 328 334 382 402 420 472	-1579437186400
SPT(16)	2127769366386584971	0 22 30 42 100 108 130 142 156 168 190 198 256 268 276 298	-1346790811318
SPT(16)	2127769931905717769	0 18 48 60 90 104 138 150 182 194 228 242 272 284 314 332	-781271678520
SPT(16)	2127770254151290159	0 24 64 78 90 94 112 130 192 210 228 232 244 258 298 322	-459026106130
STPT(10)	2127770669761382717	0 2 30 32 42 44 54 56 84 86	-43416013572
SPT(16)	2127771242645509693	0 58 66 94 96 124 150 168 196 214 240 268 270 298 306 364	529468113404
SPT(16)	2127771775312582249	0 34 88 112 114 120 180 190 222 232 292 298 300 324 378 412	1062135185960
STPT(10)	2127771853194462659	0 2 30 32 60 62 90 92 120 122	1140017066370
SPT(16)	2127771898690023559	0 108 154 190 204 208 238 250 252 264 294 298 312 348 394 502	1185512627270
SPT(16)	2127772001647311259	0 42 52 100 114 120 130 132 172 174 184 190 204 252 262 304	1288469914970