Prime p₀= 1529109373706115569 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: crashtech
db: batch=78, k=10, 2 16 2 10 2

SPT(16)	1529108192218692469	0 4 40 52 114 118 160 168 184 192 234 238 300 312 348 352	-1181487423100
STPT(10)	1529108244629944211	0 2 30 32 78 80 126 128 156 158	-1129076171358
STPT(10)	1529108382257965667	0 2 54 56 72 74 90 92 144 146	-991448149902
SPT(16)	1529108989016866669	0 34 40 48 60 84 88 124 144 180 184 208 220 228 234 268	-384689248900
STPT(10)	1529109193621181057	0 2 30 32 42 44 54 56 84 86	-180084934512
SPT(18)	1529109270162460069	0 10 30 42 52 88 130 142 220 342 420 432 474 510 520 532 552 562	-103543655500
SPT(16)	1529110083582377407	0 16 34 42 60 82 160 174 262 276 354 376 394 402 420 436	709876261838
STPT(10)	1529110219430054867	0 2 12 14 72 74 132 134 144 146	845723939298
STPT(10)	1529110298086082321	0 2 30 32 78 80 126 128 156 158	924379966752
SPT(16)	1529110347612050107	0 22 60 66 130 144 150 154 192 196 202 216 280 286 324 346	973905934538
SPT(20)	1529110546085490971	0 30 78 152 170 186 198 210 212 236 312 336 338 350 362 378 396 470 518 548	1172379375402