Prime p₀= 2356379549092050509 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: arkiss
db: batch=81, k=10, 2 16 2 10 2

STPT(10)	2356378841075157761	0 2 36 38 78 80 120 122 156 158	-708016892748
STPT(10)	2356379028585011357	0 2 42 44 72 74 102 104 144 146	-520507039152
SPT(16)	2356379159043091801	0 10 12 36 40 58 72 78 100 106 120 138 142 166 168 178	-390048958708
STPT(10)	2356379271428016227	0 2 30 32 42 44 54 56 84 86	-277664034282
SPT(16)	2356379291388407899	0 28 54 64 78 144 148 154 204 210 214 280 294 304 330 358	-257703642610
SPT(16)	2356379530946784587	0 6 14 26 44 72 110 156 170 216 254 282 300 312 320 326	-18145265922
STPT(10)	2356379613084490307	0 2 30 32 42 44 54 56 84 86	63992439798
SPT(16)	2356379853001413949	0 12 48 114 120 124 132 154 168 190 198 202 208 274 310 322	303909363440
SPT(16)	2356380179215836071	0 18 36 56 62 102 140 146 342 348 386 426 432 452 470 488	630123785562
TPT(14)	2356380254324288999	0 2 30 32 48 50 132 134 162 164 210 212 240 242	705232238490
STPT(12)	2356380390675160217	0 2 42 44 54 56 90 92 102 104 144 146	841583109708