Prime p₀= 4168049511277701191 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: vaughan
db: batch=85, k=10, 2 4 2 10 2

STPT(10)	4168047771855947009	0 2 18 20 30 32 42 44 60 62	-1739421754182
SPT(16)	4168047892997861141	0 2 36 98 122 132 168 170 258 260 296 306 330 392 426 428	-1618279840050
SPT(16)	4168048558036505641	0 6 22 36 52 66 70 120 142 192 196 210 226 240 256 262	-953241195550
SPT(16)	4168049131314000451	0 10 22 36 82 88 126 166 192 232 270 276 322 336 348 358	-379963700740
STPT(10)	4168049145809858789	0 2 18 20 30 32 42 44 60 62	-365467842402
SPT(22)	4168049195347855967	0 36 62 80 120 132 134 186 252 266 282 344 360 374 440 492 494 506 546 564 590 626	-315929845224
SPT(16)	4168049973166189009	0 4 42 48 64 72 78 102 130 154 160 168 184 190 228 232	461888487818
SPT(16)	4168050422043305179	0 4 12 22 30 40 72 90 154 172 204 214 222 232 240 244	910765603988
SPT(16)	4168050424736932337	0 14 30 134 156 186 200 224 246 270 284 314 336 440 456 470	913459231146
SPT(16)	4168050646023337279	0 40 48 180 192 208 220 222 238 240 252 268 280 412 420 460	1134745636088
TPT(14)	4168050842944493429	0 2 12 14 42 44 72 74 168 170 192 194 198 200	1331666792238