Prime p₀= 2667644553622896941 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: JayPi
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2667643734231338297	0 2 12 24 26 42 50 96 110 156 164 180 182 194 204 206	-819391558644
SPT(16)	2667643805944912159	0 24 54 78 82 94 100 112 180 192 198 210 214 238 268 292	-747677984782
STPT(10)	2667643941637816199	0 2 42 44 60 62 78 80 120 122	-611985080742
STPT(10)	2667644206919996147	0 2 30 32 42 44 54 56 84 86	-346702900794
SPT(16)	2667644523531473401	0 16 28 70 76 90 102 112 156 166 178 192 198 240 252 268	-30091423540
STPT(10)	2667644536232185199	0 2 18 20 30 32 42 44 60 62	-17390711742
SPT(16)	2667644756027720419	0 40 42 48 88 130 168 184 198 214 252 294 334 340 342 382	202404823478
STPT(10)	2667644870063504501	0 2 30 32 78 80 126 128 156 158	316440607560
STPT(10)	2667644893516974401	0 2 30 32 60 62 90 92 120 122	339894077460
SPT(16)	2667644896384085593	0 10 16 100 106 136 154 180 304 330 348 378 384 468 474 484	342761188652
SPT(16)	2667644988648149603	0 8 18 78 80 84 120 164 210 254 290 294 296 356 366 374	435025252662