Prime p₀= 1126685301071883479 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: crashtech
db: batch=76, k=10, 2 10 2 76 2

SPT(16)	1126684035471776389	0 12 54 70 82 88 102 112 210 220 234 240 252 268 310 322	-1265600107090
SPT(16)	1126684320847962413	0 66 104 116 120 144 168 188 306 326 350 374 378 390 428 494	-980223921066
SPT(16)	1126684485761384117	0 12 42 54 116 144 150 176 210 236 242 270 332 344 374 386	-815310499362
SPT(16)	1126684599310485821	0 6 12 20 42 48 72 86 102 116 140 146 168 176 182 188	-701761397658
SPT(16)	1126684621902769561	0 30 52 66 90 126 130 142 186 198 202 238 262 276 298 328	-679169113918
SPT(16)	1126684885083496373	0 38 78 96 140 188 204 228 266 290 306 354 398 416 456 494	-415988387106
STPT(10)	1126685408037807977	0 2 60 62 72 74 84 86 144 146	106965924498
SPT(16)	1126685474031287413	0 6 28 94 180 190 196 210 214 228 234 244 330 396 418 424	172959403934
SPT(16)	1126685619272585639	0 12 18 42 50 80 92 134 168 210 222 252 260 284 290 302	318200702160
STPT(10)	1126685930227932161	0 2 6 8 48 50 90 92 96 98	629156048682
TPT(14)	1126686114747756947	0 2 60 62 150 152 180 182 192 194 282 284 312 314	813675873468