Prime p₀= 2993835004827596957 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: suriv
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2993832843902760401	0 2 26 36 48 68 80 90 128 138 150 170 182 192 216 218	-2160924836556
TPT(14)	2993833429491467201	0 2 6 8 78 80 240 242 246 248 270 272 288 290	-1575336129756
SPT(16)	2993833683413579509	0 52 70 94 144 172 178 258 304 384 390 418 468 492 510 562	-1321414017448
SPT(16)	2993834055247718083	0 34 64 120 148 150 168 174 190 196 214 216 244 300 330 364	-949579878874
SPT(16)	2993834224428952529	0 18 42 48 72 98 114 140 162 188 204 230 254 260 284 302	-780398644428
STPT(10)	2993834739722108879	0 2 42 44 60 62 78 80 120 122	-265105488078
SPT(16)	2993835061782678677	0 50 90 102 120 134 146 182 204 240 252 266 284 296 336 386	56955081720
SPT(16)	2993835089039255497	0 40 60 136 150 166 270 304 306 340 444 460 474 550 570 610	84211658540
STPT(10)	2993835762934931867	0 2 30 32 42 44 54 56 84 86	758107334910
SPT(16)	2993835799320114997	0 30 94 100 106 136 160 274 372 486 510 540 546 552 616 646	794492518040
TPT(14)	2993835960756588767	0 2 54 56 84 86 120 122 204 206 282 284 294 296	955928991810