Prime p₀= 2121410012472400997 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Vato
db: batch=80, k=10, 2 10 2 28 2

STPT(10)	2121407451552645029	0 2 12 14 90 92 168 170 180 182	-2560919755968
STPT(10)	2121407833307822921	0 2 36 38 78 80 120 122 156 158	-2179164578076
STPT(10)	2121408149430249479	0 2 48 50 60 62 72 74 120 122	-1863042151518
STPT(10)	2121408363879767759	0 2 18 20 30 32 42 44 60 62	-1648592633238
SPT(16)	2121408839043770651	0 8 30 48 86 90 110 128 180 198 218 222 260 278 300 308	-1173428630346
SPT(16)	2121409933246443709	0 24 28 58 72 78 102 112 150 160 184 190 204 234 238 262	-79225957288
STPT(10)	2121410323927062587	0 2 42 44 72 74 102 104 144 146	311454661590
STPT(10)	2121410435725127537	0 2 12 14 42 44 72 74 84 86	423252726540
STPT(10)	2121410547831500711	0 2 36 38 78 80 120 122 156 158	535359099714
STPT(10)	2121410597075301977	0 2 30 32 42 44 54 56 84 86	584602900980
SPT(16)	2121410624095481449	0 22 24 34 52 90 100 124 150 174 184 222 240 250 252 274	611623080452