Prime p₀= 799837403827391297 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: jozef j
db: batch=73, k=10, 2 28 2 10 2

SPT(16)	799836469574912173	0 24 70 88 94 138 148 174 250 276 286 330 336 354 400 424	-934252479124
STPT(10)	799836480538168859	0 2 42 44 60 62 78 80 120 122	-923289222438
SPT(20)	799836950596568177	0 12 56 96 126 146 192 200 222 230 276 284 306 314 360 380 410 450 494 506	-453230823120
SPT(16)	799836951243760267	0 6 24 70 82 162 180 222 274 316 334 414 426 472 490 496	-452583631030
SPT(16)	799837204753591307	0 14 66 72 90 116 174 206 210 242 300 326 344 350 402 416	-199073799990
STPT(10)	799837247826064697	0 2 30 32 42 44 54 56 84 86	-156001326600
STPT(10)	799837629436112777	0 2 42 44 72 74 102 104 144 146	225608721480
SPT(16)	799837642354749721	0 6 10 28 66 72 76 90 178 192 196 202 240 258 262 268	238527358424
SPT(16)	799837668620207857	0 22 52 94 120 124 142 162 184 204 222 226 252 294 324 346	264792816560
STPT(10)	799837741164570971	0 2 36 38 78 80 120 122 156 158	337337179674
TPT(14)	799837828253914787	0 2 42 44 54 56 72 74 192 194 210 212 234 236	424426523490