Prime p₀= 2310306691294700627 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: FritzB
db: batch=81, k=10, 2 10 2 28 2

STPT(10)	2310306029238762221	0 2 6 8 18 20 30 32 36 38	-662055938406
STPT(10)	2310306080666285729	0 2 18 20 30 32 42 44 60 62	-610628414898
TPT(14)	2310306100820773799	0 2 18 20 30 32 78 80 102 104 132 134 198 200	-590473926828
SPT(16)	2310306245607289519	0 22 42 72 142 148 168 174 178 184 204 210 280 310 330 352	-445687411108
SPT(16)	2310306336741284881	0 28 42 60 88 90 108 112 156 160 178 180 208 226 240 268	-354553415746
SPT(16)	2310306427694791943	0 14 36 84 104 156 200 216 224 240 284 336 356 404 426 440	-263599908684
STPT(10)	2310306834514747049	0 2 42 44 60 62 78 80 120 122	143220046422
SPT(16)	2310306966109894753	0 4 16 60 70 114 144 190 270 316 346 390 400 444 456 460	274815194126
STPT(10)	2310307270091286281	0 2 6 8 48 50 90 92 96 98	578796585654
SPT(16)	2310307357045738943	0 6 14 18 60 90 98 116 198 216 224 254 296 300 308 314	665751038316
TPT(14)	2310307471206033179	0 2 18 20 72 74 108 110 138 140 270 272 282 284	779911332552