Prime p₀= 2958456799404762947 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 118 2 118 2 10 2 (?)
a_n: 0 2 12 14 132 134 252 254 264 266
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: 266
Found by: conf [MM]
db: batch=82, k=10, 2 10 2 118 2

SPT(18)	2958455154525565907	0 36 50 62 92 164 192 242 260 366 384 434 462 534 564 576 590 626	-1644879197040
STPT(10)	2958455281283845709	0 2 42 44 60 62 78 80 120 122	-1518120917238
STPT(10)	2958455542419160247	0 2 60 62 102 104 144 146 204 206	-1256985602700
STPT(10)	2958455998718763197	0 2 12 14 72 74 132 134 144 146	-800685999750
SPT(16)	2958456298718972431	0 90 102 106 112 220 316 340 342 366 462 570 576 580 592 682	-500685790516
TPT(14)	2958456426394149011	0 2 78 80 156 158 168 170 216 218 246 248 270 272	-373010613936
STPT(10)	2958457190223460967	0 2 30 32 42 44 54 56 84 86	390818698020
SPT(16)	2958457215002772103	0 40 46 48 78 84 90 106 108 124 130 136 166 168 174 214	415598009156
STPT(10)	2958457492663369397	0 2 30 32 42 44 54 56 84 86	693258606450
SPT(16)	2958457530810648089	0 32 42 80 110 144 168 192 230 254 278 312 342 380 390 422	731405885142
SPT(16)	2958457579919797171	0 10 46 72 142 198 222 238 240 256 280 336 406 432 468 478	780515034224