Prime p₀= 2532559106817033137 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: Hightower
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2532557434410574979	0 14 38 44 50 74 204 224 228 248 378 402 408 414 438 452	-1672406458158
STPT(10)	2532557980767772157	0 2 30 32 72 74 114 116 144 146	-1126049260980
SPT(16)	2532558146424457747	0 4 10 24 46 66 114 126 154 166 214 234 256 270 276 280	-960392575390
SPT(16)	2532558457995105509	0 8 14 50 90 110 128 134 138 144 162 182 222 258 264 272	-648821927628
STPT(10)	2532558612620087081	0 2 30 32 60 62 90 92 120 122	-494196946056
SPT(16)	2532558797255369717	0 42 50 72 116 146 156 212 384 440 450 480 524 546 554 596	-309561663420
SPT(16)	2532559397396854489	0 70 94 100 132 144 184 198 214 228 268 280 312 318 342 412	290579821352
STPT(10)	2532559475499225059	0 2 18 20 30 32 42 44 60 62	368682191922
STPT(10)	2532559515881966447	0 2 30 32 60 62 90 92 120 122	409064933310
STPT(10)	2532559583557573961	0 2 96 98 138 140 180 182 276 278	476740540824
STPT(10)	2532559675051886189	0 2 48 50 90 92 132 134 180 182	568234853052