Prime p₀= 2111947919467405697 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: gemini8
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2111946348983385767	0 24 26 42 56 80 102 110 156 164 186 210 224 240 242 266	-1570484019930
SPT(16)	2111947126828922371	0 22 36 66 72 102 106 130 132 156 160 190 196 226 240 262	-792638483326
SPT(16)	2111947195508162497	0 16 52 70 72 106 156 162 220 226 276 310 312 330 366 382	-723959243200
STPT(10)	2111947215042792791	0 2 96 98 138 140 180 182 276 278	-704424612906
SPT(16)	2111947635780786227	0 30 42 72 110 132 144 224 270 350 362 384 422 452 464 494	-283686619470
STPT(10)	2111947647786646469	0 2 48 50 60 62 72 74 120 122	-271680759228
SPT(16)	2111948321636930719	0 12 18 22 24 40 54 60 112 118 132 148 150 154 160 172	402169525022
SPT(16)	2111948551532625319	0 22 30 114 120 142 160 180 184 204 222 244 250 334 342 364	632065219622
SPT(16)	2111948981743569407	0 20 26 66 74 134 140 162 164 186 192 252 260 300 306 326	1062276163710
STPT(10)	2111949402999519899	0 2 12 14 30 32 48 50 60 62	1483532114202
STPT(10)	2111949533348754719	0 2 12 14 90 92 168 170 180 182	1613881349022