Prime p₀= 1219674717293155967 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 82 2 46 2 46 2 82 2 (?)
a_n: 0 2 84 86 132 134 180 182 264 266
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: 266
Found by: xii5ku
db: batch=77, k=10, 2 82 2 46 2

SPT(16)	1219673827616961737	0 20 80 96 104 146 192 216 230 254 300 342 350 366 426 446	-889676194230
SPT(16)	1219673894991887459	0 38 42 68 80 102 120 144 158 182 200 222 234 260 264 302	-822301268508
SPT(16)	1219674017032961257	0 36 40 52 150 166 174 192 304 322 330 346 444 456 460 496	-700260194710
SPT(16)	1219674018688900193	0 24 38 80 96 128 158 170 264 276 306 338 354 396 410 434	-698604255774
SPT(16)	1219674533862980347	0 22 102 126 174 204 210 220 246 256 262 292 340 364 444 466	-183430175620
SPT(16)	1219674660086966911	0 22 60 76 90 126 132 142 246 256 262 298 312 328 366 388	-57206189056
SPT(16)	1219674924858563269	0 4 10 54 78 120 148 178 180 210 238 280 304 348 354 358	207565407302
SPT(13)	1219675192807275047	0 96 114 126 156 204 210 216 264 294 306 324 420	475514119080
SPT(13)	1219675339675448917	0 30 114 132 144 174 192 210 240 252 270 354 384	622382292950
STPT(10)	1219675341063509357	0 2 30 32 42 44 54 56 84 86	623770353390
SPT(16)	1219675429653916337	0 12 32 60 72 156 254 264 302 312 410 494 506 534 554 566	712360760370