Prime p₀= 2128583112716278217 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=80, k=10, 2 22 2 16 2

SPT(16)	2128581658167745357	0 16 36 42 64 70 120 124 192 196 246 252 274 280 300 316	-1454548532860
STPT(10)	2128581713189581547	0 2 60 62 72 74 84 86 144 146	-1399526696670
TPT(14)	2128582240374847067	0 2 30 32 72 74 114 116 150 152 180 182 222 224	-872341431150
SPT(16)	2128582666901094863	0 50 60 90 114 134 138 144 170 176 180 200 224 254 264 314	-445815183354
SPT(16)	2128583043550707097	0 16 96 112 144 252 286 316 390 420 454 562 594 610 690 706	-69165571120
SPT(16)	2128583081476386593	0 6 14 24 38 80 104 144 170 210 234 276 290 300 308 314	-31239891624
STPT(10)	2128583191334363051	0 2 36 38 78 80 120 122 156 158	78618084834
SPT(16)	2128583383388598743	0 6 36 50 54 74 78 90 104 116 120 140 144 158 188 194	270672320526
SPT(16)	2128583549919986573	0 50 66 84 96 126 138 168 176 206 218 248 260 278 294 344	437203708356
STPT(10)	2128583687607584531	0 2 36 38 78 80 120 122 156 158	574891306314
SPT(16)	2128583699308405813	0 66 108 136 138 168 220 234 250 264 316 346 348 376 418 484	586592127596