Prime p₀= 1270388958200156021 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 106 2 28 2 28 2 106 2 (?)
a_n: 0 2 108 110 138 140 168 170 276 278
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: 278
Found by: Megacruncher
db: batch=77, k=10, 2 106 2 28 2

SPT(16)	1270388309821038679	0 60 88 112 138 154 160 178 204 222 228 244 270 294 322 382	-648379117342
TPT(14)	1270388734251214847	0 2 42 44 84 86 90 92 174 176 234 236 294 296	-223948941174
SPT(16)	1270388896386286987	0 22 36 90 102 112 114 144 172 202 204 214 226 280 294 316	-61813869034
STPT(10)	1270388914865556917	0 2 54 56 72 74 90 92 144 146	-43334599104
SPT(16)	1270388934672083491	0 6 28 42 66 100 118 132 196 210 228 262 286 300 322 328	-23528072530
SPT(16)	1270388939970909769	0 22 24 52 84 142 178 180 262 264 300 358 390 418 420 442	-18229246252
STPT(10)	1270389040238544839	0 2 18 20 30 32 42 44 60 62	82038388818
SPT(16)	1270389127185573289	0 34 52 60 154 174 180 192 280 292 298 318 412 420 438 472	168985417268
TPT(14)	1270389633281392409	0 2 42 44 168 170 282 284 342 344 372 374 420 422	675081236388
SPT(16)	1270389931028094493	0 24 66 70 96 130 190 196 204 210 270 304 330 334 376 400	972827938472
STPT(10)	1270389938684492411	0 2 30 32 60 62 90 92 120 122	980484336390