Prime p₀= 1245347845530645887 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Megacruncher
db: batch=77, k=10, 2 28 2 28 2

STPT(10)	1245346703086856171	0 2 6 8 48 50 90 92 96 98	-1142443789716
SPT(16)	1245346791463450349	0 32 42 48 50 78 102 128 174 200 224 252 254 260 270 302	-1054067195538
STPT(10)	1245346812968847131	0 2 6 8 48 50 90 92 96 98	-1032561798756
SPT(16)	1245346839021908003	0 20 30 134 138 156 176 216 218 258 278 296 300 404 414 434	-1006508737884
STPT(10)	1245347621504639201	0 2 6 8 48 50 90 92 96 98	-224026006686
STPT(10)	1245347816039069927	0 2 30 32 60 62 90 92 120 122	-29491575960
SPT(16)	1245347965397035567	0 4 6 16 22 82 90 130 156 196 204 264 270 280 282 286	119866389680
SPT(16)	1245348184438605371	0 12 36 80 92 126 138 168 200 230 242 276 288 332 356 368	338907959484
TPT(14)	1245348366895654907	0 2 114 116 270 272 294 296 312 314 462 464 510 512	521365009020
STPT(10)	1245348502499171867	0 2 24 26 42 44 60 62 84 86	656968525980
STPT(10)	1245349077865740899	0 2 18 20 30 32 42 44 60 62	1232335095012