Prime p₀= 2642574258740694737 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: biodoc
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2642572777896556811	0 26 48 56 96 126 146 180 236 270 290 320 360 368 390 416	-1480844137926
SPT(16)	2642572807220408291	0 50 60 62 120 158 180 182 186 188 210 248 306 308 318 368	-1451520286446
SPT(18)	2642572904199371371	0 16 22 30 40 42 72 82 96 172 186 196 226 228 238 246 252 268	-1354541323366
STPT(10)	2642573746306128881	0 2 36 38 78 80 120 122 156 158	-512434565856
SPT(16)	2642573954176261117	0 12 24 90 94 102 112 132 172 192 202 210 214 280 292 304	-304564433620
SPT(16)	2642574127306067749	0 42 90 114 130 142 168 190 252 274 300 312 328 352 400 442	-131434626988
SPT(16)	2642574440361351053	0 20 26 38 78 84 90 126 158 194 200 206 246 258 264 284	181620656316
STPT(10)	2642574462035141981	0 2 156 158 198 200 240 242 396 398	203294447244
SPT(16)	2642574523368921877	0 16 30 40 112 120 154 162 214 222 256 264 336 346 360 376	264628227140
SPT(13)	2642574682675140503	0 30 36 66 78 108 138 168 198 210 240 246 276	423934445766
STPT(10)	2642574730740949091	0 2 6 8 48 50 90 92 96 98	472000254354