Prime p₀= 2361588699730415999 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

SPT(16)	2361587292919588081	0 28 76 106 150 162 186 216 232 262 286 298 342 372 420 448	-1406810827918
SPT(16)	2361587454491108057	0 26 30 54 92 104 110 126 140 156 162 174 212 236 240 266	-1245239307942
SPT(16)	2361587493165628397	0 20 80 102 104 132 140 180 194 234 242 270 272 294 354 374	-1206564787602
STPT(10)	2361587551347335369	0 2 42 44 60 62 78 80 120 122	-1148383080630
SPT(16)	2361587925609223463	0 50 54 78 104 138 188 218 270 300 350 384 410 434 438 488	-774121192536
STPT(10)	2361588547194408977	0 2 30 32 42 44 54 56 84 86	-152536007022
STPT(12)	2361589013923135637	0 2 12 14 54 56 90 92 132 134 144 146	314192719638
SPT(16)	2361589074005720963	0 20 26 48 60 120 134 140 144 150 164 224 236 258 264 284	374275304964
SPT(16)	2361589081610552713	0 66 138 148 150 154 166 220 234 288 300 304 306 316 388 454	381880136714
TPT(14)	2361589880174199119	0 2 30 32 210 212 228 230 240 242 252 254 282 284	1180443783120
TPT(14)	2361589951431762431	0 2 48 50 78 80 90 92 120 122 240 242 288 290	1251701346432