Prime p₀= 2726247002234222099 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 46 2 46 2 40 2 (?)
a_n: 0 2 42 44 90 92 138 140 180 182
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: Time_Traveler
db: batch=82, k=10, 2 40 2 46 2

SPT(16)	2726245759629677591	0 26 38 92 120 158 168 176 252 260 270 308 336 390 402 428	-1242604544508
SPT(16)	2726245926108187591	0 6 12 40 52 108 120 148 210 238 250 306 318 346 352 358	-1076126034508
SPT(16)	2726246188475550877	0 10 54 66 70 76 90 232 264 406 420 426 430 442 486 496	-813758671222
SPT(16)	2726246571414964919	0 18 62 74 102 114 140 164 258 282 308 320 348 360 404 422	-430819257180
TPT(14)	2726246592924556631	0 2 156 158 210 212 276 278 360 362 378 380 408 410	-409309665468
SPT(16)	2726246698196658929	0 12 32 62 68 74 78 80 162 164 168 174 180 210 230 242	-304037563170
SPT(16)	2726247204054029479	0 18 88 102 124 160 168 180 292 304 312 348 370 384 454 472	201819807380
SPT(16)	2726248423211272417	0 30 54 90 96 120 126 142 174 190 196 220 226 262 286 316	1420977050318
SPT(16)	2726248728398868331	0 18 46 52 58 60 70 96 112 138 148 150 156 162 190 208	1726164646232
SPT(16)	2726248972361396117	0 20 86 116 140 180 186 194 216 224 230 270 294 324 390 410	1970127174018
STPT(10)	2726249435847544499	0 2 12 14 90 92 168 170 180 182	2433613322400