Prime p₀= 977537592862726067 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: HenkM
db: batch=76, k=10, 2 10 2 28 2

SPT(16)	977536644520025017	0 10 70 72 94 102 106 114 142 150 154 162 184 186 246 256	-948342701050
SPT(16)	977536664994137623	0 18 36 48 78 118 130 154 180 204 216 256 286 298 316 334	-927868588444
STPT(10)	977536678751745797	0 2 24 26 42 44 60 62 84 86	-914110980270
STPT(10)	977536926759538427	0 2 60 62 72 74 84 86 144 146	-666103187640
STPT(10)	977537279273129147	0 2 60 62 72 74 84 86 144 146	-313589596920
STPT(10)	977537410364148251	0 2 36 38 78 80 120 122 156 158	-182498577816
STPT(10)	977537899833781799	0 2 42 44 60 62 78 80 120 122	306971055732
SPT(16)	977538253453885069	0 4 42 58 64 70 72 84 88 100 102 108 114 130 168 172	660591159002
STPT(10)	977538681359533217	0 2 12 14 42 44 72 74 84 86	1088496807150
STPT(10)	977538972064964129	0 2 18 20 30 32 42 44 60 62	1379202238062
STPT(10)	977539428591388511	0 2 30 32 60 62 90 92 120 122	1835728662444