Prime p₀= 1014273850206680849 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: Spectrum
db: batch=76, k=10, 2 28 2 28 2

SPT(16)	1014272815168585949	0 12 54 62 72 168 174 188 204 218 224 320 330 338 380 392	-1035038094900
SPT(16)	1014273088071728119	0 4 12 78 84 118 130 150 232 252 264 298 304 370 378 382	-762134952730
SPT(16)	1014273133917953453	0 8 18 20 24 66 104 108 176 180 218 260 264 266 276 284	-716288727396
SPT(16)	1014273140978529001	0 52 72 82 138 148 162 168 220 226 240 250 306 316 336 388	-709228151848
SPT(16)	1014273528059926447	0 24 34 54 66 76 106 124 132 150 180 190 202 222 232 256	-322146754402
SPT(16)	1014273828858737507	0 20 30 42 62 140 152 156 296 300 312 390 410 422 432 452	-21347943342
SPT(16)	1014274121968659413	0 14 26 68 110 120 158 186 218 246 284 294 336 378 390 404	271761978564
SPT(16)	1014274356059047789	0 12 52 90 102 172 198 202 318 322 348 418 430 468 508 520	505852366940
STPT(10)	1014275397718104407	0 2 12 14 42 44 72 74 84 86	1547511423558
STPT(10)	1014275754545922497	0 2 30 32 72 74 114 116 144 146	1904339241648
SPT(16)	1014275867039098553	0 38 44 50 126 140 158 198 206 246 264 278 354 360 366 404	2016832417704