Prime p₀= 2991549028502175677 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Orange Kid
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2991548587519334021	0 6 56 90 98 152 158 182 216 240 246 300 308 342 392 398	-440982841656
STPT(10)	2991548679451937159	0 2 18 20 60 62 102 104 120 122	-349050238518
STPT(10)	2991548811705768887	0 2 42 44 72 74 102 104 144 146	-216796406790
SPT(16)	2991548850064223039	0 2 30 68 90 108 120 122 138 140 152 170 192 230 258 260	-178437952638
STPT(10)	2991548911782050297	0 2 60 62 72 74 84 86 144 146	-116720125380
SPT(16)	2991548983544125967	0 26 42 44 74 92 140 144 212 216 264 282 312 314 330 356	-44958049710
STPT(10)	2991549550907604887	0 2 30 32 72 74 114 116 144 146	522405429210
STPT(10)	2991549587334137717	0 2 24 26 42 44 60 62 84 86	558831962040
SPT(16)	2991550361069117767	0 10 12 64 96 126 132 156 160 184 190 220 252 304 306 316	1332566942090
STPT(10)	2991550406787478577	0 2 30 32 42 44 54 56 84 86	1378285302900
STPT(10)	2991550490096477117	0 2 30 32 42 44 54 56 84 86	1461594301440