Prime p₀= 2397300308822949317 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: [AF>Le_Pommier] Jerome_C2005
db: batch=81, k=10, 2 10 2 58 2

SPT(16)	2397298887903551399	0 42 120 162 210 284 290 318 404 432 438 512 560 602 680 722	-1420919397918
SPT(16)	2397298988631388207	0 16 42 64 72 100 156 172 174 190 246 274 282 304 330 346	-1320191561110
SPT(16)	2397299771207055179	0 12 62 108 132 152 168 180 182 194 210 230 254 300 350 362	-537615894138
STPT(10)	2397299845402817021	0 2 6 8 18 20 30 32 36 38	-463420132296
STPT(10)	2397299958202311467	0 2 30 32 42 44 54 56 84 86	-350620637850
SPT(16)	2397300068636323063	0 6 30 96 126 204 208 220 264 276 280 358 388 454 478 484	-240186626254
SPT(16)	2397300614800531201	0 6 10 48 58 72 82 90 178 186 196 210 220 258 262 268	305977581884
STPT(10)	2397300694271626067	0 2 12 14 42 44 72 74 84 86	385448676750
TPT(14)	2397300855158903009	0 2 42 44 108 110 120 122 240 242 252 254 348 350	546335953692
SPT(16)	2397300863767243141	0 12 66 88 96 102 156 162 256 262 316 322 330 352 406 418	554944293824
SPT(16)	2397301645578489679	0 42 64 82 84 102 124 142 150 168 190 208 210 228 250 292	1336755540362