Prime p₀= 3000129180963722807 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: JohnMD
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	3000127900642972171	0 36 88 100 142 160 178 190 198 210 228 246 288 300 352 388	-1280320750636
STPT(10)	3000127965332882477	0 2 30 32 60 62 90 92 120 122	-1215630840330
TPT(14)	3000127999689929177	0 2 42 44 54 56 114 116 180 182 192 194 210 212	-1181273793630
SPT(16)	3000128067374246189	0 8 12 72 78 128 174 182 210 218 264 314 320 380 384 392	-1113589476618
STPT(10)	3000128733514128449	0 2 48 50 60 62 72 74 120 122	-447449594358
SPT(16)	3000128793942837881	0 30 60 86 90 140 200 216 242 258 318 368 372 398 428 458	-387020884926
TPT(14)	3000129330451784021	0 2 30 32 78 80 108 110 138 140 150 152 168 170	149488061214
TPT(14)	3000129356789428307	0 2 42 44 210 212 252 254 294 296 330 332 420 422	175825705500
SPT(16)	3000129389647035133	0 4 64 90 124 130 148 220 288 360 378 384 418 444 504 508	208683312326
SPT(16)	3000129410483484203	0 26 38 80 114 156 234 294 320 380 458 500 534 576 588 614	229519761396
SPT(16)	3000129663396979697	0 12 30 42 50 96 126 152 234 260 290 336 344 356 374 386	482433256890