Prime p₀= 2310307270091286281 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: FritzB
db: batch=81, k=10, 2 4 2 40 2

SPT(16)	2310306245607289519	0 22 42 72 142 148 168 174 178 184 204 210 280 310 330 352	-1024483996762
SPT(16)	2310306336741284881	0 28 42 60 88 90 108 112 156 160 178 180 208 226 240 268	-933350001400
SPT(16)	2310306427694791943	0 14 36 84 104 156 200 216 224 240 284 336 356 404 426 440	-842396494338
STPT(10)	2310306691294700627	0 2 12 14 42 44 72 74 84 86	-578796585654
STPT(10)	2310306834514747049	0 2 42 44 60 62 78 80 120 122	-435576539232
SPT(16)	2310306966109894753	0 4 16 60 70 114 144 190 270 316 346 390 400 444 456 460	-303981391528
SPT(16)	2310307357045738943	0 6 14 18 60 90 98 116 198 216 224 254 296 300 308 314	86954452662
TPT(14)	2310307471206033179	0 2 18 20 72 74 108 110 138 140 270 272 282 284	201114746898
STPT(10)	2310307613203179389	0 2 48 50 60 62 72 74 120 122	343111893108
STPT(10)	2310307668809582327	0 2 54 56 72 74 90 92 144 146	398718296046
SPT(16)	2310308012697903503	0 6 8 18 36 96 98 116 120 138 140 200 218 228 230 236	742606617222