Prime p₀= 2400832159291437899 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Roadranner
db: batch=82, k=10, 2 16 2 10 2

TPT(14)	2400831591130778549	0 2 78 80 120 122 132 134 162 164 258 260 330 332	-568160659350
STPT(10)	2400831628068268007	0 2 30 32 42 44 54 56 84 86	-531223169892
SPT(16)	2400831795570455867	0 12 42 86 104 114 152 156 200 204 242 252 270 314 344 356	-363720982032
STPT(10)	2400831850101362729	0 2 42 44 60 62 78 80 120 122	-309190075170
TPT(14)	2400831898759986089	0 2 30 32 60 62 222 224 270 272 402 404 462 464	-260531451810
TPT(14)	2400832076720922959	0 2 30 32 78 80 90 92 162 164 168 170 252 254	-82570514940
STPT(10)	2400832235444763101	0 2 36 38 78 80 120 122 156 158	76153325202
STPT(10)	2400832584504885407	0 2 30 32 60 62 90 92 120 122	425213447508
SPT(16)	2400832946473461161	0 2 6 30 32 56 68 90 98 120 132 156 158 182 186 188	787182023262
STPT(10)	2400833006947966601	0 2 6 8 48 50 90 92 96 98	847656528702
SPT(16)	2400833363635509853	0 4 18 88 96 136 190 238 246 294 348 388 396 466 480 484	1204344071954