Prime p₀= 3001638868924991567 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: modesti
db: batch=82, k=10, 2 28 2 10 2

STPT(10)	3001636896716353079	0 2 18 20 30 32 42 44 60 62	-1972208638488
SPT(16)	3001637025364140799	0 88 114 150 154 180 184 220 228 264 268 294 298 334 360 448	-1843560850768
SPT(16)	3001637608152434633	0 50 68 74 78 90 96 116 288 308 314 326 330 336 354 404	-1260772556934
STPT(10)	3001637803124962889	0 2 18 20 30 32 42 44 60 62	-1065800028678
SPT(16)	3001637834549110553	0 18 38 68 114 150 198 200 348 350 398 434 480 510 530 548	-1034375881014
SPT(16)	3001637910775254887	0 2 14 30 90 110 164 192 212 240 294 314 374 390 402 404	-958149736680
SPT(16)	3001638883825799093	0 8 116 126 128 198 258 266 330 338 398 468 470 480 588 596	14900807526
SPT(16)	3001638931784316337	0 12 34 40 52 94 132 156 160 184 222 264 276 282 304 316	62859324770
SPT(16)	3001638990172475033	0 6 8 86 108 146 150 156 188 194 198 236 258 336 338 344	121247483466
STPT(10)	3001639111998291131	0 2 6 8 48 50 90 92 96 98	243073299564
SPT(20)	3001640371265752549	0 40 42 54 90 114 124 142 190 202 210 222 270 288 298 322 358 370 372 412	1502340760982