Prime p₀= 2316567652549691309 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: Vato
db: batch=81, k=10, 2 16 2 10 2

TPT(14)	2316565627788346787	0 2 12 14 30 32 72 74 114 116 144 146 210 212	-2024761344522
STPT(10)	2316565908877537319	0 2 30 32 60 62 90 92 120 122	-1743672153990
STPT(10)	2316565948136156501	0 2 36 38 78 80 120 122 156 158	-1704413534808
STPT(10)	2316567000621988019	0 2 42 44 90 92 138 140 180 182	-651927703290
STPT(10)	2316567073228656839	0 2 48 50 90 92 132 134 180 182	-579321034470
SPT(16)	2316567319108519777	0 6 40 70 150 174 180 210 226 256 262 286 366 396 430 436	-333441171532
SPT(16)	2316567725619514963	0 18 30 70 78 88 96 120 214 238 246 256 264 304 316 334	73069823654
SPT(16)	2316568161180959401	0 46 118 126 130 160 312 352 396 436 588 618 622 630 702 748	508631268092
STPT(10)	2316568316165161109	0 2 78 80 120 122 162 164 240 242	663615469800
STPT(10)	2316568612337837447	0 2 42 44 72 74 102 104 144 146	959788146138
SPT(16)	2316568774883968961	0 2 48 56 72 80 90 108 170 188 198 206 222 230 276 278	1122334277652