Prime p₀= 2056699434993063587 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: MarkRBright
db: batch=80, k=10, 2 22 2 16 2

STPT(10)	2056698134668081781	0 2 30 32 60 62 90 92 120 122	-1300324981806
STPT(10)	2056698768325841609	0 2 12 14 30 32 48 50 60 62	-666667221978
SPT(16)	2056698780055032031	0 28 70 112 118 130 168 210 220 262 300 312 318 360 402 430	-654938031556
SPT(18)	2056699144716800501	0 30 66 98 108 140 152 212 222 236 246 306 318 350 360 392 428 458	-290276263086
SPT(16)	2056699270675536779	0 8 12 74 78 80 102 120 122 140 162 164 168 230 234 242	-164317526808
STPT(10)	2056699291056004961	0 2 36 38 78 80 120 122 156 158	-143937058626
STPT(10)	2056699462651369967	0 2 54 56 72 74 90 92 144 146	27658306380
STPT(10)	2056699489672595819	0 2 18 20 60 62 102 104 120 122	54679532232
SPT(16)	2056700102541607199	0 32 68 80 108 110 132 158 174 200 222 224 252 264 300 332	667548543612
SPT(16)	2056700899178220857	0 20 60 74 84 102 116 206 210 300 314 332 342 356 396 416	1464185157270
SPT(16)	2056701343231956469	0 12 52 58 88 178 210 240 250 280 312 402 432 438 478 490	1908238892882