Prime p₀= 2114375716853115887 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 76 2 76 2 52 2 (?)
a_n: 0 2 54 56 132 134 210 212 264 266
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: 266
Found by: Coleslaw
db: batch=80, k=10, 2 52 2 76 2

STPT(10)	2114374759252334177	0 2 30 32 42 44 54 56 84 86	-957600781710
STPT(10)	2114374845897914651	0 2 6 8 18 20 30 32 36 38	-870955201236
SPT(16)	2114374896873915989	0 8 14 20 62 78 102 108 134 140 164 180 222 228 234 242	-819979199898
STPT(10)	2114375093014344929	0 2 18 20 30 32 42 44 60 62	-623838770958
SPT(16)	2114375109557381609	0 12 68 78 80 98 138 152 168 182 222 240 242 252 308 320	-607295734278
SPT(16)	2114375280748161259	0 58 82 118 142 148 184 220 222 258 294 300 324 360 384 442	-436104954628
SPT(18)	2114375950794044083	0 24 28 66 76 90 138 156 174 220 238 256 304 318 328 366 370 394	233940928196
SPT(16)	2114376317771672629	0 12 58 108 120 220 280 310 330 360 420 520 532 582 628 640	600918556742
SPT(16)	2114376390457682537	0 50 54 60 72 92 132 140 216 224 264 284 296 302 306 356	673604566650
SPT(16)	2114376674931407069	0 32 50 102 110 140 162 228 242 308 330 360 368 420 438 470	958078291182
STPT(10)	2114376916145019731	0 2 6 8 18 20 30 32 36 38	1199291903844