Prime p₀= 2532536840578108097 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Penguin
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2532536274861634747	0 4 34 132 144 150 186 210 226 250 286 292 304 402 432 436	-565716473350
STPT(10)	2532536300667250919	0 2 18 20 30 32 42 44 60 62	-539910857178
SPT(16)	2532536343668970931	0 22 28 42 48 76 90 118 180 208 222 250 256 270 276 298	-496909137166
STPT(10)	2532536491056081449	0 2 42 44 60 62 78 80 120 122	-349522026648
STPT(10)	2532536573047882031	0 2 36 38 78 80 120 122 156 158	-267530226066
SPT(16)	2532536735419227871	0 12 28 36 52 70 78 130 228 280 288 306 322 330 346 358	-105158880226
STPT(10)	2532536991300928691	0 2 30 32 78 80 126 128 156 158	150722820594
SPT(16)	2532537010668475201	0 30 70 72 88 102 112 118 150 156 166 180 196 198 238 268	170090367104
STPT(10)	2532537115058121881	0 2 6 8 108 110 210 212 216 218	274480013784
SPT(16)	2532537673878550619	0 12 14 24 74 78 138 150 212 224 284 288 338 348 350 362	833300442522
STPT(10)	2532537861827075129	0 2 18 20 30 32 42 44 60 62	1021248967032