Prime p₀= 2293629713208019787 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: paulteo
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2293629049171210103	0 14 30 86 146 188 210 248 306 344 366 408 468 524 540 554	-664036809684
SPT(16)	2293629257574155999	0 42 78 98 128 150 198 210 242 254 302 324 354 374 410 452	-455633863788
STPT(10)	2293629358538530679	0 2 18 20 60 62 102 104 120 122	-354669489108
STPT(12)	2293629368662825439	0 2 30 32 72 74 138 140 180 182 210 212	-344545194348
SPT(16)	2293629508773328021	0 6 22 48 66 72 112 132 136 156 196 202 220 246 262 268	-204434691766
SPT(16)	2293629643817933483	0 24 38 84 96 138 140 206 228 294 296 338 350 396 410 434	-69390086304
STPT(10)	2293629799436933897	0 2 30 32 60 62 90 92 120 122	86228914110
SPT(16)	2293629892309067573	0 20 104 120 170 174 230 260 378 408 464 468 518 534 618 638	179101047786
SPT(16)	2293630497150490037	0 2 14 24 30 36 42 56 60 74 80 86 92 102 114 116	783942470250
STPT(10)	2293630755394150721	0 2 6 8 48 50 90 92 96 98	1042186130934
SPT(16)	2293630800350868197	0 14 62 72 74 84 92 134 240 282 290 300 302 312 360 374	1087142848410