Prime p₀= 2162768741782366967 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Landjunge
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2162767458613161161	0 12 48 72 90 110 158 170 210 222 270 290 308 332 368 380	-1283169205806
STPT(10)	2162767705260477347	0 2 84 86 132 134 180 182 264 266	-1036521889620
STPT(12)	2162767808830887287	0 2 42 44 54 56 150 152 162 164 204 206	-932951479680
STPT(10)	2162768254457799797	0 2 12 14 42 44 72 74 84 86	-487324567170
SPT(16)	2162768367809933647	0 4 24 36 60 106 112 126 130 144 150 196 220 232 252 256	-373972433320
SPT(16)	2162768387907937661	0 12 38 62 66 80 126 150 218 242 288 302 306 330 356 368	-353874429306
SPT(16)	2162769025810640411	0 20 38 62 80 92 98 120 140 162 168 180 198 222 240 260	284028273444
SPT(16)	2162769044842573813	0 18 60 64 84 136 154 196 228 270 288 340 360 364 406 424	303060206846
SPT(16)	2162769243718342979	0 38 44 54 74 80 114 158 234 278 312 318 338 348 354 392	501935976012
SPT(16)	2162769253185496811	0 48 78 120 122 150 192 242 258 308 350 378 380 422 452 500	511403129844
SPT(16)	2162769574460800429	0 12 48 64 78 148 150 178 234 262 264 334 348 364 400 412	832678433462