Prime p₀= 2612924817049857221 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: JayPi
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2612923399191865999	0 10 18 52 84 94 114 130 162 178 198 208 240 274 282 292	-1417857991222
STPT(10)	2612923444313917697	0 2 30 32 42 44 54 56 84 86	-1372735939524
SPT(16)	2612923784190961733	0 18 56 66 78 90 104 170 204 270 284 296 308 318 356 374	-1032858895488
SPT(16)	2612923954686997429	0 24 30 52 100 112 114 118 144 148 150 162 210 232 238 262	-862362859792
STPT(10)	2612924551826468819	0 2 42 44 60 62 78 80 120 122	-265223388402
SPT(16)	2612924793720519361	0 42 46 52 66 70 156 172 180 196 282 286 300 306 310 352	-23329337860
STPT(10)	2612925021644197229	0 2 12 14 30 32 48 50 60 62	204594340008
SPT(16)	2612925099397061083	0 10 18 94 108 120 126 166 258 298 304 316 330 406 414 424	282347203862
SPT(20)	2612925173001277429	0 88 100 124 180 250 262 324 352 432 490 570 598 660 672 742 798 822 834 922	355951420208
STPT(10)	2612925619161184037	0 2 42 44 72 74 102 104 144 146	802111326816
STPT(10)	2612925877832606879	0 2 12 14 90 92 168 170 180 182	1060782749658