Prime p₀= 1951742680194842807 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: fake
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	1951741877023652059	0 30 40 64 78 82 108 114 118 124 150 154 168 192 202 232	-803171190748
STPT(10)	1951741897996800821	0 2 6 8 18 20 30 32 36 38	-782198041986
STPT(10)	1951741959807188357	0 2 30 32 42 44 54 56 84 86	-720387654450
SPT(16)	1951742151481558649	0 2 72 78 120 122 170 182 240 252 300 302 344 350 420 422	-528713284158
TPT(14)	1951742535251664611	0 2 30 32 78 80 96 98 150 152 156 158 198 200	-144943178196
STPT(10)	1951742633026580201	0 2 66 68 108 110 150 152 216 218	-47168262606
STPT(10)	1951742745022341329	0 2 42 44 60 62 78 80 120 122	64827498522
STPT(10)	1951742747549456501	0 2 6 8 48 50 90 92 96 98	67354613694
SPT(16)	1951742913541969447	0 12 54 72 120 130 144 184 252 292 306 316 364 382 424 436	233347126640
SPT(18)	1951742949164666269	0 10 28 40 58 78 100 108 112 120 124 132 154 174 192 204 222 232	268969823462
SPT(16)	1951742981672677891	0 42 46 78 90 96 120 220 288 388 412 418 430 462 466 508	301477835084