Prime p₀= 2999118022426745117 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 88 2 40 2 40 2 88 2 (?)
a_n: 0 2 90 92 132 134 174 176 264 266
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: 266
Found by: Orange Kid
db: batch=82, k=10, 2 88 2 40 2

STPT(10)	2999117522225844359	0 2 18 20 30 32 42 44 60 62	-500200900758
SPT(16)	2999117673477869641	0 22 42 48 76 90 106 136 162 192 208 222 250 256 276 298	-348948875476
SPT(16)	2999117674744904957	0 12 60 72 116 122 132 164 342 374 384 390 434 446 494 506	-347681840160
SPT(16)	2999117682316098331	0 42 70 88 130 132 160 172 228 240 268 270 312 330 358 400	-340110646786
STPT(10)	2999117864059294301	0 2 36 38 78 80 120 122 156 158	-158367450816
SPT(16)	2999117926841022421	0 52 70 100 112 120 138 162 226 250 268 276 288 318 336 388	-95585722696
STPT(10)	2999118815949632417	0 2 30 32 42 44 54 56 84 86	793522887300
SPT(16)	2999119007736179747	0 72 86 90 182 206 216 240 242 266 276 300 392 396 410 482	985309434630
SPT(16)	2999119170462183371	0 66 78 80 102 158 176 182 246 252 270 326 348 350 362 428	1148035438254
STPT(10)	2999119279574812967	0 2 42 44 72 74 102 104 144 146	1257148067850
SPT(16)	2999119329994869877	0 4 6 34 64 76 136 180 286 330 390 402 432 460 462 466	1307568124760