Prime p₀= 3000050410837308971 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: Orange Kid
db: batch=82, k=10, 2 4 2 10 2

TPT(14)	3000048975558724499	0 2 12 14 168 170 198 200 210 212 312 314 348 350	-1435278584472
STPT(10)	3000049258275109091	0 2 6 8 18 20 30 32 36 38	-1152562199880
STPT(10)	3000049556422174349	0 2 30 32 60 62 90 92 120 122	-854415134622
TPT(14)	3000049567681185197	0 2 12 14 24 26 90 92 192 194 294 296 360 362	-843156123774
STPT(10)	3000049567681185221	0 2 66 68 168 170 270 272 336 338	-843156123750
SPT(16)	3000050339683685801	0 8 32 42 156 198 242 300 338 396 440 482 596 606 630 638	-71153623170
SPT(16)	3000050466721053017	0 20 26 86 90 114 126 164 216 254 266 290 294 354 360 380	55883744046
SPT(16)	3000050999807744629	0 22 60 64 88 108 160 168 214 222 274 294 318 322 360 382	588970435658
SPT(16)	3000051261439157687	0 14 20 32 56 86 126 144 152 170 210 240 264 276 282 296	850601848716
STPT(10)	3000051435450951491	0 2 30 32 78 80 126 128 156 158	1024613642520
SPT(16)	3000051591142288939	0 22 78 100 120 154 180 204 208 232 258 292 312 334 390 412	1180304979968