Prime p₀= 2999118815949632417 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Orange Kid
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2999117673477869641	0 22 42 48 76 90 106 136 162 192 208 222 250 256 276 298	-1142471762776
SPT(16)	2999117674744904957	0 12 60 72 116 122 132 164 342 374 384 390 434 446 494 506	-1141204727460
SPT(16)	2999117682316098331	0 42 70 88 130 132 160 172 228 240 268 270 312 330 358 400	-1133633534086
STPT(10)	2999117864059294301	0 2 36 38 78 80 120 122 156 158	-951890338116
SPT(16)	2999117926841022421	0 52 70 100 112 120 138 162 226 250 268 276 288 318 336 388	-889108609996
STPT(10)	2999118022426745117	0 2 90 92 132 134 174 176 264 266	-793522887300
SPT(16)	2999119007736179747	0 72 86 90 182 206 216 240 242 266 276 300 392 396 410 482	191786547330
SPT(16)	2999119170462183371	0 66 78 80 102 158 176 182 246 252 270 326 348 350 362 428	354512550954
STPT(10)	2999119279574812967	0 2 42 44 72 74 102 104 144 146	463625180550
SPT(16)	2999119329994869877	0 4 6 34 64 76 136 180 286 330 390 402 432 460 462 466	514045237460
STPT(10)	2999119545752195207	0 2 24 26 42 44 60 62 84 86	729802562790