Prime p₀= 2597698053533769629 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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 16 2 40 2

SPT(16)	2597695946174154439	0 28 42 48 180 208 210 214 258 262 264 292 424 430 444 472	-2107359615190
STPT(10)	2597695978950659087	0 2 54 56 72 74 90 92 144 146	-2074583110542
SPT(16)	2597696074158687577	0 6 60 76 82 84 126 144 202 220 262 264 270 286 340 346	-1979375082052
SPT(16)	2597696325992379721	0 16 22 58 88 96 172 196 282 306 382 390 420 456 462 478	-1727541389908
STPT(10)	2597696663797456577	0 2 30 32 72 74 114 116 144 146	-1389736313052
SPT(16)	2597697690604616239	0 12 54 150 160 210 222 304 390 472 484 534 544 640 682 694	-362929153390
SPT(16)	2597698351746697957	0 6 10 24 46 84 160 162 184 186 262 300 322 336 340 346	298212928328
SPT(16)	2597698605934905157	0 10 40 70 114 142 154 166 210 222 234 262 306 336 366 376	552401135528
TPT(14)	2597698725190208441	0 2 48 50 90 92 126 128 198 200 228 230 300 302	671656438812
STPT(10)	2597699067359501429	0 2 18 20 60 62 102 104 120 122	1013825731800
STPT(10)	2597699233653539747	0 2 30 32 42 44 54 56 84 86	1180119770118