Prime p₀= 2914251413798386967 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: Landjunge
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2914249883794487869	0 28 54 70 108 112 178 198 274 294 360 364 402 418 444 472	-1530003899098
TPT(16)	2914249996440196199	0 2 78 80 162 164 198 200 300 302 492 494 522 524 588 590	-1417358190768
STPT(10)	2914250165978210831	0 2 36 38 78 80 120 122 156 158	-1247820176136
SPT(16)	2914250745642458863	0 4 36 58 88 106 120 180 214 274 288 306 336 358 390 394	-668155928104
STPT(12)	2914251133084868009	0 2 12 14 42 44 168 170 198 200 210 212	-280713518958
SPT(16)	2914251311291249893	0 18 54 64 120 138 186 204 220 238 286 304 360 370 406 424	-102507137074
TPT(14)	2914251703213378769	0 2 90 92 138 140 192 194 222 224 258 260 288 290	289414991802
STPT(10)	2914251829208680949	0 2 18 20 30 32 42 44 60 62	415410293982
SPT(16)	2914252491358369067	0 44 56 60 62 114 134 176 180 222 242 294 296 300 312 356	1077559982100
SPT(16)	2914252545477949019	0 18 92 110 114 120 158 170 192 204 242 248 252 270 344 362	1131679562052
SPT(16)	2914252651690848989	0 2 14 50 72 104 120 132 170 182 198 230 252 288 300 302	1237892462022