Prime p₀= 1245865681756635617 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: vinn@[CNT]
db: batch=77, k=10, 2 58 2 10 2

STPT(10)	1245865067752274087	0 2 30 32 42 44 54 56 84 86	-614004361530
SPT(16)	1245865128377162959	0 24 70 84 108 130 138 142 150 154 162 184 208 222 268 292	-553379472658
SPT(16)	1245865142388749797	0 12 40 102 124 160 192 270 286 364 396 432 454 516 544 556	-539367885820
TPT(14)	1245865263697846241	0 2 90 92 156 158 216 218 240 242 258 260 288 290	-418058789376
SPT(16)	1245865303151346937	0 82 154 156 190 196 244 306 310 372 420 426 460 462 534 616	-378605288680
SPT(16)	1245865522059135437	0 6 42 50 92 120 146 176 180 210 236 264 306 314 350 356	-159697500180
STPT(10)	1245865683738118769	0 2 18 20 30 32 42 44 60 62	1981483152
SPT(16)	1245865818116759467	0 40 70 90 154 196 234 246 304 316 354 396 460 480 510 550	136360123850
SPT(16)	1245865917715376443	0 54 70 96 118 120 178 180 274 276 334 336 358 384 400 454	235958740826
SPT(16)	1245865921697919937	0 30 52 70 100 150 210 226 270 286 346 396 426 444 466 496	239941284320
STPT(10)	1245865962612431117	0 2 12 14 42 44 72 74 84 86	280855795500