Prime p₀= 2689364290640827697 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 40 2 40 2 58 2 (?)
a_n: 0 2 60 62 102 104 144 146 204 206
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: 206
Found by: [SG-FC] hl
db: batch=82, k=10, 2 58 2 40 2

STPT(10)	2689363276055586551	0 2 36 38 78 80 120 122 156 158	-1014585241146
SPT(16)	2689363312035825521	0 6 56 62 98 110 150 222 236 308 348 360 396 402 452 458	-978605002176
SPT(16)	2689363352357364253	0 18 28 54 60 64 88 180 214 306 330 334 340 366 376 394	-938283463444
SPT(16)	2689363858758247733	0 18 24 30 116 128 138 170 264 296 306 318 404 410 416 434	-431882579964
STPT(10)	2689363868051231381	0 2 6 8 48 50 90 92 96 98	-422589596316
SPT(16)	2689364232615278759	0 24 32 38 50 84 90 104 228 242 248 282 294 300 308 332	-58025548938
SPT(16)	2689364373033023627	0 12 74 84 86 90 132 140 186 194 236 240 242 252 314 326	82392195930
SPT(16)	2689364607520163609	0 14 98 108 128 150 152 158 204 210 212 234 254 264 348 362	316879335912
SPT(16)	2689364898913564969	0 10 28 48 52 82 94 108 154 168 180 210 214 234 252 262	608272737272
SPT(16)	2689365112771992307	0 52 66 70 94 130 186 196 210 220 276 312 336 340 354 406	822131164610
SPT(16)	2689365263984660671	0 28 46 48 106 126 138 148 180 190 202 222 280 282 300 328	973343832974