Prime p₀= 2953921676845433687 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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=82, k=10, 2 28 2 10 2

STPT(10)	2953921173711194849	0 2 42 44 120 122 198 200 240 242	-503134238838
SPT(16)	2953921226403036181	0 28 36 42 52 78 106 160 168 222 250 276 286 292 300 328	-450442397506
STPT(12)	2953921302756718067	0 2 12 14 42 44 72 74 102 104 114 116	-374088715620
SPT(16)	2953921337538473921	0 48 62 66 80 120 128 146 282 300 308 348 362 366 380 428	-339306959766
STPT(10)	2953921364885160557	0 2 24 26 42 44 60 62 84 86	-311960273130
STPT(10)	2953921581581062031	0 2 36 38 78 80 120 122 156 158	-95264371656
STPT(10)	2953921930312876889	0 2 42 44 60 62 78 80 120 122	253467443202
TPT(14)	2953922039239949807	0 2 12 14 42 44 150 152 204 206 210 212 264 266	362394516120
SPT(16)	2953922053600332929	0 24 132 158 200 228 252 258 284 290 314 342 384 410 518 542	376754899242
TPT(14)	2953922295917911229	0 2 30 32 42 44 72 74 162 164 198 200 270 272	619072477542
STPT(10)	2953922322334552871	0 2 30 32 78 80 126 128 156 158	645489119184