Prime p₀= 2322550167032622827 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: Landjunge
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2322547947767353703	0 20 24 38 60 74 80 116 168 204 210 224 246 260 264 284	-2219265269124
TPT(14)	2322548176578435131	0 2 18 20 30 32 60 62 96 98 138 140 240 242	-1990454187696
STPT(10)	2322548912792394827	0 2 30 32 72 74 114 116 144 146	-1254240228000
STPT(10)	2322549099565044809	0 2 18 20 30 32 42 44 60 62	-1067467578018
SPT(16)	2322549688917494341	0 6 12 28 48 88 112 132 166 186 210 250 270 286 292 298	-478115128486
SPT(13)	2322550117456794991	0 6 12 30 90 192 216 240 342 402 420 426 432	-49575827836
SPT(16)	2322550337876701631	0 62 80 128 150 156 182 222 266 306 332 338 360 408 426 488	170844078804
SPT(16)	2322550519917688997	0 24 54 114 122 140 210 212 222 224 294 312 320 380 410 434	352885066170
TPT(14)	2322550540252778579	0 2 30 32 42 44 78 80 162 164 210 212 240 242	373220155752
SPT(16)	2322550707907961933	0 8 26 84 96 114 134 176 198 240 260 278 290 348 366 374	540875339106
SPT(16)	2322550727732363419	0 42 70 84 102 172 174 184 198 208 210 280 298 312 340 382	560699740592