Prime p₀= 853599882199959491 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Vitalii Koshura
db: batch=73, k=10, 2 34 2 40 2

STPT(10)	853598814815665967	0 2 42 44 72 74 102 104 144 146	-1067384293524
SPT(16)	853598973991380163	0 4 18 28 54 60 88 108 310 330 358 364 390 400 414 418	-908208579328
SPT(16)	853599145660988761	0 40 42 58 60 108 166 172 306 312 370 418 420 436 438 478	-736538970730
SPT(18)	853599154903529701	0 46 52 78 88 90 106 108 118 120 130 132 148 150 160 186 192 238	-727296429790
STPT(10)	853599154903529789	0 2 18 20 30 32 42 44 60 62	-727296429702
STPT(10)	853599567776288537	0 2 12 14 42 44 72 74 84 86	-314423670954
STPT(10)	853600529979933551	0 2 6 8 48 50 90 92 96 98	647779974060
SPT(16)	853600649783979689	0 14 18 30 44 48 98 114 158 174 224 228 242 254 258 272	767584020198
SPT(16)	853600797912774679	0 28 34 40 48 52 54 78 94 118 120 124 132 138 144 172	915712815188
SPT(16)	853600880771803267	0 4 6 36 76 82 120 126 130 136 174 180 220 250 252 256	998571843776
STPT(10)	853600917226208507	0 2 42 44 72 74 102 104 144 146	1035026249016