Prime p₀= 2089046535207219167 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 178 2 178 2 58 2 (?)
a_n: 0 2 60 62 240 242 420 422 480 482
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: 482
Found by: vaughan
db: batch=80, k=10, 2 58 2 178 2

SPT(16)	2089045703848493587	0 30 36 42 112 124 142 172 204 234 252 264 334 340 346 376	-831358725580
SPT(16)	2089045973226758761	0 10 66 76 78 88 130 132 166 168 210 220 222 232 288 298	-561980460406
SPT(16)	2089045980280060999	0 4 28 60 70 82 114 138 184 208 240 252 262 294 318 322	-554927158168
SPT(16)	2089046019789807389	0 20 44 68 90 110 134 150 152 168 192 212 234 258 282 302	-515417411778
SPT(16)	2089046498778325747	0 6 24 40 90 112 136 150 166 180 204 226 276 292 310 316	-36428893420
SPT(16)	2089046533138928507	0 30 36 50 86 126 146 216 224 294 314 354 390 404 410 440	-2068290660
STPT(10)	2089046627309086199	0 2 18 20 30 32 42 44 60 62	92101867032
SPT(18)	2089046705536187779	0 30 42 64 72 78 130 132 198 214 280 282 334 340 348 370 382 412	170328968612
STPT(10)	2089046806193423519	0 2 42 44 60 62 78 80 120 122	270986204352
STPT(10)	2089046961593230757	0 2 30 32 42 44 54 56 84 86	426386011590
STPT(10)	2089047048408089837	0 2 12 14 72 74 132 134 144 146	513200870670