Prime p₀= 2069863975209858809 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: vaughan
db: batch=80, k=10, 2 16 2 40 2

SPT(16)	2069862591521491471	0 12 48 82 90 126 132 148 180 196 202 238 246 280 316 328	-1383688367338
SPT(16)	2069862743847799591	0 10 22 36 66 78 88 108 130 150 160 172 202 216 228 238	-1231362059218
STPT(10)	2069863079411219957	0 2 42 44 72 74 102 104 144 146	-895798638852
SPT(16)	2069863091686285481	0 56 68 78 102 120 138 146 222 230 248 266 290 300 312 368	-883523573328
TPT(14)	2069863689867003971	0 2 108 110 288 290 336 338 348 350 426 428 516 518	-285342854838
STPT(10)	2069863804345327169	0 2 12 14 90 92 168 170 180 182	-170864531640
STPT(10)	2069864365002396407	0 2 30 32 42 44 54 56 84 86	389792537598
SPT(16)	2069864530968732221	0 12 50 62 72 120 128 138 170 180 188 236 246 258 296 308	555758873412
SPT(16)	2069865217532946863	0 84 86 128 144 164 168 240 254 326 330 350 366 408 410 494	1242323088054
STPT(10)	2069865744136820417	0 2 60 62 72 74 84 86 144 146	1768926961608
SPT(16)	2069866012202495363	0 8 68 84 86 114 138 176 198 236 260 288 290 306 366 374	2036992636554