Prime p₀= 2696992009034432579 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 76 2 76 2 40 2 (?)
a_n: 0 2 42 44 120 122 198 200 240 242
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: 242
Found by: [SG-2W]Kurzer
db: batch=82, k=10, 2 40 2 76 2

STPT(10)	2696991199304986679	0 2 18 20 30 32 42 44 60 62	-809729445900
STPT(10)	2696991452954780039	0 2 42 44 60 62 78 80 120 122	-556079652540
SPT(16)	2696991612060105361	0 30 58 66 108 172 256 276 352 372 456 520 562 570 598 628	-396974327218
SPT(16)	2696991924292674793	0 16 46 64 78 88 94 130 204 240 246 256 270 288 318 334	-84741757786
SPT(16)	2696991938216149529	0 14 30 42 62 92 134 170 222 258 300 330 350 362 378 392	-70818283050
SPT(16)	2696991958868119477	0 10 22 34 36 82 90 126 160 196 204 250 252 264 276 286	-50166313102
SPT(16)	2696992108762625299	0 70 90 124 174 202 208 220 222 234 240 268 318 352 372 442	99728192720
STPT(10)	2696992634560265159	0 2 18 20 30 32 42 44 60 62	625525832580
SPT(16)	2696992695714863137	0 16 30 40 60 76 102 106 180 184 210 226 246 256 270 286	686680430558
SPT(16)	2696993041430786017	0 6 12 24 34 72 126 156 160 190 244 282 292 304 310 316	1032396353438
STPT(12)	2696993149264564637	0 2 12 14 54 56 90 92 132 134 144 146	1140230132058