Prime p₀= 2029850695373994167 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: Landjunge
db: batch=80, k=10, 2 52 2 76 2

SPT(16)	2029849475752419157	0 36 40 46 64 70 124 144 226 246 300 306 324 330 334 370	-1219621575010
SPT(16)	2029849680092744173	0 54 60 76 96 114 136 154 156 174 196 214 234 250 256 310	-1015281249994
STPT(10)	2029850070782433869	0 2 12 14 90 92 168 170 180 182	-624591560298
SPT(16)	2029850196915991963	0 16 28 90 130 148 174 184 300 310 336 354 394 456 468 484	-498458002204
SPT(16)	2029850312136090793	0 18 34 46 84 144 150 186 208 244 250 310 348 360 376 394	-383237903374
SPT(16)	2029850323364799107	0 2 44 54 60 74 104 110 216 222 252 266 272 282 324 326	-372009195060
STPT(10)	2029850764064166497	0 2 24 26 42 44 60 62 84 86	68690172330
STPT(10)	2029850778310691459	0 2 48 50 90 92 132 134 180 182	82936697292
SPT(16)	2029850856357609643	0 28 30 36 88 108 130 138 196 204 226 246 298 304 306 334	160983615476
STPT(10)	2029850860144217321	0 2 30 32 78 80 126 128 156 158	164770223154
STPT(10)	2029851239356602581	0 2 6 8 108 110 210 212 216 218	543982608414