Prime p₀= 2333213712386122409 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Landjunge
db: batch=81, k=10, 2 16 2 10 2

STPT(10)	2333212518736445579	0 2 48 50 60 62 72 74 120 122	-1193649676830
STPT(10)	2333212596446840741	0 2 6 8 48 50 90 92 96 98	-1115939281668
SPT(16)	2333212669986772151	0 42 68 156 180 182 210 252 266 308 336 338 362 450 476 518	-1042399350258
STPT(10)	2333212882721802407	0 2 42 44 72 74 102 104 144 146	-829664320002
STPT(10)	2333213037272116397	0 2 30 32 72 74 114 116 144 146	-675114006012
SPT(16)	2333213531887597157	0 32 50 66 74 170 186 204 242 260 276 372 380 396 414 446	-180498525252
SPT(16)	2333215015862485411	0 18 40 42 52 66 88 126 142 180 202 216 226 228 250 268	1303476363002
SPT(16)	2333215033409987801	0 8 98 140 198 200 210 252 296 338 348 350 408 450 540 548	1321023865392
SPT(16)	2333215038244415789	0 8 18 38 62 140 168 188 204 224 252 330 354 374 384 392	1325858293380
STPT(10)	2333215532614494347	0 2 30 32 42 44 54 56 84 86	1820228371938
TPT(14)	2333215540260345569	0 2 12 14 78 80 288 290 330 332 342 344 570 572	1827874223160