Prime p₀= 3012369565865406737 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: conf [MM]
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	3012368724531442919	0 2 12 44 60 104 144 200 252 308 348 392 408 440 450 452	-841333963818
STPT(10)	3012368819291583779	0 2 18 20 30 32 42 44 60 62	-746573822958
SPT(16)	3012368843941775447	0 2 24 86 104 114 134 140 156 162 182 192 210 272 294 296	-721923631290
SPT(16)	3012368915109524303	0 6 56 68 84 90 128 138 176 186 224 230 246 258 308 314	-650755882434
TPT(14)	3012369011667123209	0 2 78 80 138 140 192 194 252 254 318 320 330 332	-554198283528
TPT(14)	3012369552793858679	0 2 48 50 78 80 162 164 198 200 342 344 468 470	-13071548058
STPT(10)	3012369767912112869	0 2 48 50 60 62 72 74 120 122	202046706132
SPT(16)	3012369912126181459	0 4 12 34 52 88 118 130 222 234 264 300 318 340 348 352	346260774722
STPT(10)	3012370390325895407	0 2 12 14 42 44 72 74 84 86	824460488670
SPT(16)	3012370646556047719	0 12 42 60 70 88 90 118 222 250 252 270 280 298 328 340	1080690640982
SPT(16)	3012370937993673437	0 56 114 126 156 186 276 284 366 374 464 494 524 536 594 650	1372128266700