Prime p₀= 2774741818707906737 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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2774740810432986019	0 42 88 100 210 228 252 262 360 370 394 412 522 534 580 622	-1008274920718
SPT(16)	2774740920598019383	0 10 36 96 174 208 216 220 234 238 246 280 358 418 444 454	-898109887354
STPT(10)	2774741069477550947	0 2 54 56 72 74 90 92 144 146	-749230355790
STPT(10)	2774741164702056617	0 2 12 14 72 74 132 134 144 146	-654005850120
STPT(10)	2774741478663836117	0 2 42 44 72 74 102 104 144 146	-340044070620
STPT(10)	2774741478942771311	0 2 120 122 138 140 156 158 276 278	-339765135426
SPT(16)	2774741875866726407	0 20 42 66 74 80 126 192 224 290 336 342 350 374 396 416	57158819670
SPT(16)	2774741917403716697	0 12 72 84 92 150 162 170 216 224 236 294 302 314 374 386	98695809960
SPT(18)	2774742120526016023	0 4 6 28 34 76 88 96 106 108 118 126 138 180 186 208 210 214	301818109286
STPT(10)	2774742610178073419	0 2 78 80 150 152 222 224 300 302	791470166682
STPT(10)	2774742782638278449	0 2 48 50 90 92 132 134 180 182	963930371712