Prime p₀= 2624491384623029027 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: [SG-FC] hl
db: batch=82, k=10, 2 10 2 28 2

TPT(14)	2624490163591368671	0 2 18 20 186 188 210 212 216 218 258 260 300 302	-1221031660356
SPT(16)	2624490475613317819	0 30 34 40 54 60 72 82 162 172 184 190 204 210 214 244	-909009711208
SPT(16)	2624490577643787269	0 32 50 74 110 140 174 182 222 230 264 294 330 354 372 404	-806979241758
STPT(12)	2624490739809718319	0 2 12 14 42 44 180 182 210 212 222 224	-644813310708
SPT(16)	2624490844329052789	0 28 48 82 90 132 180 220 282 322 370 412 420 454 474 502	-540293976238
SPT(16)	2624490961667606527	0 6 12 16 42 60 96 124 132 160 196 214 240 244 250 256	-422955422500
TPT(14)	2624492091136596209	0 2 72 74 102 104 168 170 180 182 300 302 378 380	706513567182
SPT(16)	2624492199816660961	0 28 40 58 78 88 100 106 222 228 240 250 270 288 300 328	815193631934
TPT(14)	2624492211911928821	0 2 66 68 78 80 126 128 156 158 210 212 240 242	827288899794
STPT(10)	2624492230288656821	0 2 36 38 78 80 120 122 156 158	845665627794
SPT(16)	2624492490974451611	0 12 68 90 108 126 176 192 206 222 272 290 308 330 386 398	1106351422584