Prime p₀= 2147852612608659137 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Landjunge
db: batch=80, k=10, 2 22 2 16 2

SPT(16)	2147851342098635161	0 28 88 126 130 136 160 238 360 438 462 468 472 510 570 598	-1270510023976
SPT(16)	2147851471021320023	0 14 24 38 44 60 66 86 108 128 134 150 156 170 180 194	-1141587339114
SPT(16)	2147851623964672447	0 24 30 34 52 72 84 90 94 100 112 132 150 154 160 184	-988643986690
TPT(14)	2147852357070578069	0 2 60 62 72 74 90 92 132 134 198 200 228 230	-255538081068
STPT(10)	2147852431737108821	0 2 6 8 48 50 90 92 96 98	-180871550316
SPT(16)	2147852455956660689	0 14 60 62 152 164 230 252 290 312 378 390 480 482 528 542	-156651998448
SPT(18)	2147852930241824987	0 44 110 114 156 186 192 194 236 240 282 284 290 320 362 366 432 476	317633165850
SPT(16)	2147853523347610399	0 18 88 94 100 102 114 142 180 208 220 222 228 234 304 322	910738951262
SPT(16)	2147853525957345433	0 10 40 54 66 106 120 148 156 184 198 238 250 264 294 304	913348686296
SPT(16)	2147853537174133807	0 12 22 30 42 82 126 130 156 160 204 244 256 264 274 286	924565474670
SPT(16)	2147853597473263373	0 36 38 50 80 84 116 134 150 168 200 204 234 246 248 284	984864604236