Prime p₀= 1957879853836804757 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: Landjunge
db: batch=80, k=10, 2 28 2 40 2

SPT(16)	1957878907838157091	0 6 12 42 46 88 132 162 166 196 240 282 286 316 322 328	-945998647666
TPT(14)	1957879098848133887	0 2 240 242 264 266 270 272 282 284 360 362 492 494	-754988670870
SPT(16)	1957879508269527001	0 18 82 106 112 150 186 222 346 382 418 456 462 486 550 568	-345567277756
STPT(10)	1957879640302812407	0 2 24 26 42 44 60 62 84 86	-213533992350
SPT(16)	1957879700654826121	0 46 70 130 132 150 162 166 216 220 232 250 252 312 336 382	-153181978636
STPT(10)	1957879730130184871	0 2 90 92 108 110 126 128 216 218	-123706619886
STPT(10)	1957880212197099257	0 2 12 14 72 74 132 134 144 146	358360294500
STPT(10)	1957880215561984619	0 2 12 14 90 92 168 170 180 182	361725179862
SPT(16)	1957880350197250487	0 2 42 84 140 150 156 180 266 290 296 306 362 404 444 446	496360445730
SPT(16)	1957880851464487777	0 16 36 46 76 100 154 172 174 192 246 270 300 310 330 346	997627683020
SPT(16)	1957880984932648649	0 12 14 42 48 54 80 90 122 132 158 164 170 198 200 212	1131095843892