Prime p₀= 2869307053313773517 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: Landjunge
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2869305183989705089	0 4 12 28 54 70 72 84 88 100 102 118 144 160 168 172	-1869324068428
TPT(14)	2869305264629657039	0 2 18 20 30 32 42 44 168 170 258 260 312 314	-1788684116478
TPT(16)	2869305689448424727	0 2 42 44 54 56 72 74 114 116 174 176 210 212 222 224	-1363865348790
STPT(10)	2869305981441374771	0 2 6 8 18 20 30 32 36 38	-1071872398746
STPT(10)	2869306219733764001	0 2 36 38 78 80 120 122 156 158	-833580009516
STPT(10)	2869307031045739409	0 2 138 140 180 182 222 224 360 362	-22268034108
SPT(16)	2869307158071986477	0 20 54 60 66 80 96 102 104 110 126 140 146 152 186 206	104758212960
SPT(16)	2869307188557717659	0 30 38 44 90 92 98 104 108 114 120 122 168 174 182 212	135243944142
SPT(16)	2869307339602495007	0 24 56 62 264 294 296 306 350 360 362 392 594 600 632 656	286288721490
SPT(16)	2869307838386052389	0 30 72 78 98 102 110 218 222 330 338 342 362 368 410 440	785072278872
STPT(10)	2869308559948991117	0 2 24 26 42 44 60 62 84 86	1506635217600