Prime p₀= 3031769615478833639 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: mg13 [HWU]
db: batch=82, k=10, 2 10 2 76 2

SPT(16)	3031768344466393729	0 42 60 70 82 88 108 114 208 214 234 240 252 262 280 322	-1271012439910
TPT(14)	3031768353065771279	0 2 42 44 48 50 78 80 102 104 132 134 198 200	-1262413062360
STPT(10)	3031768621153336817	0 2 30 32 42 44 54 56 84 86	-994325496822
SPT(16)	3031768728777387617	0 36 50 162 176 200 240 270 296 326 366 390 404 516 530 566	-886701446022
SPT(16)	3031769229216358607	0 32 56 62 110 116 144 170 186 212 240 246 294 300 324 356	-386262475032
SPT(16)	3031769567658644537	0 60 72 92 104 114 116 162 194 240 242 252 264 284 296 356	-47820189102
SPT(16)	3031769655173263943	0 8 24 26 38 66 116 200 204 288 338 366 378 380 396 404	39694430304
SPT(16)	3031770008125271071	0 70 72 88 148 168 192 196 222 226 250 270 330 346 348 418	392646437432
SPT(16)	3031770059948524039	0 4 12 84 112 120 144 150 274 280 304 312 340 412 420 424	444469690400
STPT(10)	3031770266457143051	0 2 36 38 78 80 120 122 156 158	650978309412
STPT(10)	3031770307427135777	0 2 24 26 42 44 60 62 84 86	691948302138