Prime p₀= 2317768807161454877 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: Orange Kid
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2317767062503056509	0 24 80 98 174 228 234 258 284 308 314 368 444 462 518 542	-1744658398368
SPT(16)	2317767204607575823	0 18 40 48 60 78 100 120 166 186 208 226 238 246 268 286	-1602553879054
SPT(16)	2317767855778118477	0 32 54 86 116 122 140 144 152 156 174 180 210 242 264 296	-951383336400
SPT(16)	2317767988903770313	0 16 54 66 106 124 144 150 184 190 210 228 268 280 318 334	-818257684564
TPT(14)	2317768097779865207	0 2 180 182 402 404 570 572 630 632 660 662 714 716	-709381589670
STPT(10)	2317768562678981327	0 2 24 26 42 44 60 62 84 86	-244482473550
STPT(10)	2317769398770847781	0 2 138 140 168 170 198 200 336 338	591609392904
SPT(16)	2317769712814399447	0 6 42 64 76 130 154 156 190 192 216 270 282 304 340 346	905652944570
SPT(16)	2317769801998099609	0 34 42 90 108 124 154 172 180 198 228 244 262 310 318 352	994836644732
TPT(14)	2317770433632102497	0 2 72 74 114 116 144 146 180 182 270 272 402 404	1626470647620
SPT(16)	2317770589225251239	0 14 30 50 62 120 144 162 170 188 212 270 282 302 318 332	1782063796362