Prime p₀= 2371949067376518599 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: Landjunge
db: batch=81, k=10, 2 10 2 16 2

SPT(16)	2371947455360335561	0 18 30 78 100 102 126 148 150 172 196 198 220 268 280 298	-1612016183038
STPT(10)	2371948180794062639	0 2 18 20 30 32 42 44 60 62	-886582455960
SPT(16)	2371948286515423081	0 42 58 70 76 90 118 138 160 180 208 222 228 240 256 298	-780861095518
STPT(10)	2371948674082437389	0 2 30 32 60 62 90 92 120 122	-393294081210
SPT(16)	2371948783852772939	0 2 62 90 110 122 138 162 308 332 348 360 380 408 468 470	-283523745660
STPT(10)	2371948942838555147	0 2 12 14 42 44 72 74 84 86	-124537963452
TPT(16)	2371949288121702977	0 2 30 32 42 44 72 74 174 176 210 212 372 374 414 416	220745184378
SPT(16)	2371949587509609641	0 2 8 20 50 78 80 132 158 210 212 240 270 282 288 290	520133091042
STPT(10)	2371949967662411831	0 2 36 38 78 80 120 122 156 158	900285893232
SPT(16)	2371950070928031311	0 2 12 20 26 32 42 56 102 116 126 132 138 146 156 158	1003551512712
TPT(14)	2371950637936440059	0 2 30 32 48 50 168 170 228 230 252 254 312 314	1570559921460