Prime p₀= 2556600976724087747 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: Penguin
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2556598903095610631	0 12 62 90 126 140 152 170 198 216 228 242 278 306 356 368	-2073628477116
STPT(10)	2556599868194392817	0 2 24 26 42 44 60 62 84 86	-1108529694930
SPT(16)	2556600152158390763	0 8 14 18 54 78 90 200 204 314 326 350 386 390 396 404	-824565696984
STPT(10)	2556600199836185939	0 2 42 44 60 62 78 80 120 122	-776887901808
TPT(14)	2556600617525394071	0 2 60 62 186 188 216 218 228 230 288 290 300 302	-359198693676
SPT(16)	2556600793051931809	0 42 52 54 82 124 162 208 264 310 348 390 418 420 430 472	-183672155938
STPT(10)	2556601070213078561	0 2 30 32 78 80 126 128 156 158	93488990814
SPT(16)	2556601166582115571	0 6 48 102 106 118 156 190 198 232 270 282 286 340 382 388	189858027824
STPT(10)	2556601398735564977	0 2 30 32 42 44 54 56 84 86	422011477230
SPT(16)	2556601651252056851	0 18 48 50 56 80 108 120 146 158 186 210 216 218 248 266	674527969104
STPT(10)	2556602126412512987	0 2 30 32 42 44 54 56 84 86	1149688425240