Prime p₀= 2644975322026565117 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: biodoc
db: batch=82, k=10, 2 40 2 28 2

SPT(16)	2644974130522999711	0 30 46 90 100 106 120 148 168 196 210 216 226 270 286 316	-1191503565406
STPT(10)	2644974334503735329	0 2 18 20 30 32 42 44 60 62	-987522829788
SPT(16)	2644974434694510329	0 8 12 50 102 168 182 188 222 228 242 308 360 398 402 410	-887332054788
SPT(16)	2644974611269709239	0 10 22 42 48 70 112 114 118 120 162 184 190 210 222 232	-710756855878
SPT(18)	2644974611795642117	0 24 32 56 62 120 144 146 162 314 330 332 356 414 420 444 452 476	-710230923000
STPT(10)	2644975085432693339	0 2 18 20 30 32 42 44 60 62	-236593871778
STPT(10)	2644975515089589347	0 2 12 14 42 44 72 74 84 86	193063024230
STPT(10)	2644975990535280497	0 2 30 32 42 44 54 56 84 86	668508715380
SPT(20)	2644976229072719411	0 42 50 116 126 158 206 210 216 258 260 302 308 312 360 392 402 468 476 518	907046154294
STPT(10)	2644976857422848189	0 2 42 44 90 92 138 140 180 182	1535396283072
SPT(16)	2644976922701841599	0 18 32 42 68 102 132 170 240 278 308 342 368 378 392 410	1600675276482