Prime p₀= 2312140948698053729 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Landjunge
db: batch=81, k=10, 2 10 2 76 2

SPT(16)	2312139651687762199	0 28 58 64 132 150 168 210 262 304 322 340 408 414 444 472	-1297010291530
STPT(10)	2312140185984124577	0 2 54 56 72 74 90 92 144 146	-762713929152
STPT(10)	2312140202219986277	0 2 12 14 42 44 72 74 84 86	-746478067452
SPT(16)	2312140416065474261	0 38 50 56 102 138 152 210 218 276 290 326 372 378 390 428	-532632579468
STPT(10)	2312140479732415391	0 2 96 98 138 140 180 182 276 278	-468965638338
SPT(16)	2312140873015544569	0 4 22 48 60 88 124 150 232 258 294 322 334 360 378 382	-75682509160
SPT(16)	2312141048054966203	0 10 54 136 150 166 220 274 336 390 444 460 474 556 600 610	99356912474
SPT(16)	2312141329334959589	0 18 78 80 84 90 102 108 134 140 152 158 162 164 224 242	380636905860
STPT(10)	2312141339519995799	0 2 12 14 30 32 48 50 60 62	390821942070
SPT(16)	2312141968215541853	0 30 56 68 80 98 138 140 156 158 198 216 228 240 266 296	1019517488124
STPT(10)	2312142296757816947	0 2 54 56 72 74 90 92 144 146	1348059763218