Prime p₀= 1000852798208688767 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: stoneageman
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	1000852182873591079	0 42 48 52 54 84 120 154 258 292 328 358 360 364 370 412	-615335097688
SPT(16)	1000852216641739681	0 6 16 36 42 60 66 70 108 112 118 136 142 162 172 178	-581566949086
STPT(10)	1000852371235004381	0 2 30 32 60 62 90 92 120 122	-426973684386
TPT(14)	1000852469127675209	0 2 12 14 42 44 78 80 90 92 132 134 138 140	-329081013558
STPT(12)	1000852481822874209	0 2 12 14 18 20 42 44 48 50 60 62	-316385814558
SPT(20)	1000852683594545297	0 50 74 80 96 102 182 200 234 236 360 362 396 414 494 500 516 522 546 596	-114614143470
STPT(10)	1000852810548295811	0 2 66 68 138 140 210 212 276 278	12339607044
STPT(10)	1000852865249811269	0 2 12 14 150 152 288 290 300 302	67041122502
SPT(16)	1000852913453021789	0 30 32 54 62 84 98 102 110 114 128 150 158 180 182 212	115244333022
SPT(16)	1000853111835549403	0 16 18 28 36 40 58 84 100 126 144 148 156 166 168 184	313626860636
STPT(10)	1000853119823092979	0 2 42 44 60 62 78 80 120 122	321614404212