Prime p₀= 1253027329394932709 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 10 2 10 2 46 2 (?)
a_n: 0 2 48 50 60 62 72 74 120 122
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: Megacruncher
db: batch=77, k=10, 2 46 2 10 2

STPT(10)	1253026748965012907	0 2 12 14 72 74 132 134 144 146	-580429919802
SPT(16)	1253026783440899603	0 14 44 86 90 180 236 240 290 294 350 440 444 486 516 530	-545954033106
SPT(16)	1253027034956447119	0 12 18 22 78 154 160 178 204 222 228 304 360 364 370 382	-294438485590
STPT(10)	1253027142145743059	0 2 18 20 30 32 42 44 60 62	-187249189650
SPT(16)	1253027151635522917	0 42 70 82 136 142 150 154 162 166 174 180 234 246 274 316	-177759409792
STPT(10)	1253027156339432699	0 2 78 80 120 122 162 164 240 242	-173055500010
SPT(16)	1253027522580101183	0 6 60 68 86 110 116 138 188 210 216 240 258 266 320 326	193185168474
STPT(10)	1253027546085946427	0 2 24 26 42 44 60 62 84 86	216691013718
SPT(16)	1253027720158737203	0 38 116 140 150 206 228 246 248 266 288 344 354 378 456 494	390763804494
SPT(16)	1253027830516740871	0 36 40 52 76 88 196 246 262 312 420 432 456 468 472 508	501121808162
SPT(16)	1253027915734337707	0 40 42 66 72 96 112 154 222 264 280 304 310 334 336 376	586339404998