Prime p₀= 2999842177306949237 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 82 2 46 2 46 2 82 2 (?)
a_n: 0 2 84 86 132 134 180 182 264 266
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: Merowig
db: batch=82, k=10, 2 82 2 46 2

STPT(10)	2999840871929071109	0 2 30 32 60 62 90 92 120 122	-1305377878128
STPT(10)	2999841153362797529	0 2 42 44 60 62 78 80 120 122	-1023944151708
SPT(16)	2999841242778520423	0 126 136 138 208 216 330 334 360 364 478 486 556 558 568 694	-934528428814
STPT(10)	2999841534894127667	0 2 42 44 72 74 102 104 144 146	-642412821570
SPT(16)	2999841614078834081	0 12 18 32 62 78 102 110 120 128 152 168 198 212 218 230	-563228115156
SPT(16)	2999841944895307991	0 26 50 68 72 92 96 120 128 152 156 176 180 198 222 248	-232411641246
TPT(14)	2999842607648776847	0 2 24 26 42 44 72 74 144 146 150 152 270 272	430341827610
SPT(16)	2999842836781754809	0 18 24 48 52 72 82 114 238 270 280 300 304 328 334 352	659474805572
SPT(16)	2999842927650185117	0 26 42 56 180 212 246 252 254 260 294 326 450 464 480 506	750343235880
SPT(16)	2999843259974893691	0 56 62 80 102 156 168 170 228 230 242 296 318 336 342 398	1082667944454
SPT(16)	2999843295642752561	0 8 18 32 78 116 122 140 168 186 192 230 276 290 300 308	1118335803324