Prime p₀= 2166418963473687467 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: Landjunge
db: batch=81, k=10, 2 28 2 10 2

STPT(10)	2166418456890499937	0 2 30 32 72 74 114 116 144 146	-506583187530
STPT(10)	2166418789989495401	0 2 6 8 48 50 90 92 96 98	-173484192066
SPT(16)	2166418822850585753	0 14 74 84 86 90 98 108 206 216 224 228 230 240 300 314	-140623101714
SPT(16)	2166418851241775393	0 8 50 90 110 138 158 180 224 246 266 294 314 354 396 404	-112231912074
STPT(10)	2166418900711967639	0 2 48 50 90 92 132 134 180 182	-62761719828
SPT(16)	2166418915672574891	0 6 186 242 282 300 366 368 390 392 458 476 516 572 752 758	-47801112576
SPT(16)	2166419073049013201	0 72 80 90 102 110 156 168 170 182 228 236 248 258 266 338	109575325734
STPT(10)	2166419160085814927	0 2 42 44 72 74 102 104 144 146	196612127460
SPT(16)	2166419176047143827	0 12 36 42 60 76 172 190 192 210 306 322 340 346 370 382	212573456360
SPT(16)	2166419821377737221	0 58 70 72 108 118 130 162 226 258 270 280 316 318 330 388	857904049754
TPT(14)	2166420047326940597	0 2 84 86 132 134 174 176 210 212 294 296 372 374	1083853253130