Prime p₀= 1245521031224800007 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: HenkM
db: batch=77, k=10, 2 10 2 28 2

SPT(16)	1245520330567939073	0 14 20 44 48 114 126 128 216 218 230 296 300 324 330 344	-700656860934
STPT(10)	1245520445247899867	0 2 12 14 72 74 132 134 144 146	-585976900140
SPT(16)	1245520593483446053	0 16 48 70 100 156 210 226 228 244 298 354 384 406 438 454	-437741353954
SPT(16)	1245520652671454837	0 20 30 32 60 84 110 122 174 186 212 236 264 266 276 296	-378553345170
STPT(10)	1245520880012408141	0 2 6 8 18 20 30 32 36 38	-151212391866
STPT(10)	1245521005322354489	0 2 42 44 120 122 198 200 240 242	-25902445518
SPT(16)	1245521264003431021	0 18 40 66 88 102 112 136 252 276 286 300 322 348 370 388	232778631014
SPT(16)	1245521478267026483	0 6 54 56 80 90 96 134 150 188 194 204 228 230 278 284	447042226476
SPT(16)	1245521589531353591	0 36 42 56 90 120 158 210 218 270 308 338 372 386 392 428	558306553584
SPT(16)	1245521768877387907	0 52 70 96 100 120 126 162 184 220 226 246 250 276 294 346	737652587900
SPT(16)	1245521779219938119	0 30 48 72 84 120 132 188 204 260 272 308 320 344 362 392	747995138112