Prime p₀= 1266451024277278727 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: Megacruncher
db: batch=77, k=10, 2 22 2 16 2

SPT(16)	1266449719448727361	0 18 22 28 42 60 88 106 192 210 238 256 270 276 280 298	-1304828551366
SPT(16)	1266449885865703951	0 12 40 60 88 96 102 136 312 346 352 360 388 408 436 448	-1138411574776
STPT(10)	1266449988392424959	0 2 12 14 30 32 48 50 60 62	-1035884853768
SPT(16)	1266450039214923947	0 20 24 54 66 72 90 104 132 146 164 170 182 212 216 236	-985062354780
SPT(16)	1266450759605858287	0 4 96 114 136 142 172 184 222 234 264 270 292 310 402 406	-264671420440
SPT(16)	1266450845779529983	0 48 156 166 198 210 258 264 280 286 334 346 378 388 496 544	-178497748744
SPT(16)	1266451147521726541	0 16 42 72 82 96 138 148 180 190 232 246 256 286 312 328	123244447814
SPT(16)	1266451579867698401	0 2 6 8 60 78 90 92 156 158 170 188 240 242 246 248	555590419674
SPT(16)	1266451750043534479	0 10 24 34 120 168 178 208 330 360 370 418 504 514 528 538	725766255752
SPT(16)	1266452041337365969	0 10 60 100 130 144 154 198 214 258 268 282 312 352 402 412	1017060087242
SPT(16)	1266452207262151963	0 16 36 40 54 58 70 76 78 84 96 100 114 118 138 154	1182984873236