Prime p₀= 2386548399344515529 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: [AF>Libristes] Davlabedave
db: batch=81, k=10, 2 10 2 16 2

SPT(16)	2386547505891270847	0 52 90 124 154 160 192 222 292 322 354 360 390 424 462 514	-893453244682
SPT(16)	2386547937645879493	0 28 78 100 106 114 120 156 208 244 250 258 264 286 336 364	-461698636036
SPT(16)	2386548059946263879	0 30 32 44 84 128 152 198 404 450 474 518 558 570 572 602	-339398251650
SPT(16)	2386548067217275249	0 52 94 142 150 184 208 234 268 294 318 352 360 408 450 502	-332127240280
STPT(10)	2386548275217538259	0 2 18 20 60 62 102 104 120 122	-124126977270
SPT(16)	2386548286819837121	0 36 78 90 98 150 168 200 276 308 326 378 386 398 440 476	-112524678408
STPT(10)	2386548525730417427	0 2 30 32 42 44 54 56 84 86	126385901898
TPT(14)	2386548564327803831	0 2 48 50 90 92 138 140 180 182 228 230 336 338	164983288302
STPT(12)	2386548564327803831	0 2 48 50 90 92 138 140 180 182 228 230	164983288302
SPT(16)	2386548638328440387	0 2 32 92 96 102 110 126 146 162 170 176 180 240 270 272	238983924858
STPT(10)	2386548685317767939	0 2 12 14 90 92 168 170 180 182	285973252410