Prime p₀= 2458138466510829797 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: JayPi
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2458136038617995317	0 36 52 66 82 96 130 150 226 246 280 294 310 324 340 376	-2427892834480
SPT(16)	2458136603582061049	0 48 84 148 174 208 222 264 268 310 324 358 384 448 484 532	-1862928768748
SPT(16)	2458136687302259443	0 6 16 36 58 88 96 120 124 148 156 186 208 228 238 244	-1779208570354
TPT(14)	2458136942610930167	0 2 30 32 54 56 72 74 114 116 240 242 312 314	-1523899899630
STPT(10)	2458137721512607529	0 2 48 50 90 92 132 134 180 182	-744998222268
SPT(16)	2458137938803733057	0 20 42 60 62 104 110 132 152 174 180 222 224 242 264 284	-527707096740
SPT(16)	2458139134939852619	0 14 54 84 98 110 168 194 204 230 288 300 314 344 384 398	668429022822
STPT(10)	2458139737392523139	0 2 42 44 90 92 138 140 180 182	1270881693342
STPT(10)	2458139806150608257	0 2 30 32 42 44 54 56 84 86	1339639778460
STPT(10)	2458139809245054677	0 2 12 14 42 44 72 74 84 86	1342734224880
SPT(16)	2458140099473221103	0 6 26 78 80 108 146 234 290 378 416 444 446 498 518 524	1632962391306