Prime p₀= 2164204081183264817 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: Landjunge
db: batch=81, k=10, 2 52 2 16 2

SPT(16)	2164201437956283709	0 22 54 90 102 112 154 162 172 180 222 232 244 280 312 334	-2643226981108
STPT(10)	2164202003751332159	0 2 18 20 30 32 42 44 60 62	-2077431932658
SPT(16)	2164202062128586283	0 6 14 26 66 108 116 126 128 138 146 188 228 240 248 254	-2019054678534
SPT(16)	2164203204425191639	0 30 42 72 78 100 162 222 250 310 372 394 400 430 442 472	-876758073178
SPT(16)	2164203725836007881	0 6 12 18 42 148 168 180 358 370 390 496 520 526 532 538	-355347256936
SPT(16)	2164203972718922947	0 60 82 114 120 124 126 154 222 250 252 256 262 294 316 376	-108464341870
STPT(10)	2164204158365725841	0 2 30 32 78 80 126 128 156 158	77182461024
STPT(10)	2164204478273512847	0 2 12 14 72 74 132 134 144 146	397090248030
STPT(10)	2164204490529206891	0 2 126 128 138 140 150 152 276 278	409345942074
TPT(14)	2164204964496167711	0 2 60 62 66 68 156 158 186 188 240 242 306 308	883312902894
SPT(16)	2164204973113776137	0 12 24 62 72 86 96 114 182 200 210 224 234 272 284 296	891930511320