Prime p₀= 2159246261536824149 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)	2159243533320063529	0 34 42 58 78 82 84 114 118 148 150 154 174 190 198 232	-2728216760620
STPT(10)	2159244823105932239	0 2 18 20 30 32 42 44 60 62	-1438430891910
SPT(16)	2159244851471186723	0 18 48 150 156 194 230 290 384 444 480 518 524 626 656 674	-1410065637426
STPT(10)	2159244923457203297	0 2 60 62 72 74 84 86 144 146	-1338079620852
TPT(14)	2159244955535032949	0 2 42 44 138 140 210 212 288 290 330 332 342 344	-1306001791200
STPT(10)	2159245875019795589	0 2 18 20 30 32 42 44 60 62	-386517028560
SPT(18)	2159246355144857107	0 10 22 70 96 150 162 192 210 286 304 334 346 400 426 474 486 496	93608032958
STPT(10)	2159246389333714661	0 2 36 38 78 80 120 122 156 158	127796890512
SPT(16)	2159246408769498569	0 24 72 108 140 152 174 180 182 188 210 222 254 290 338 362	147232674420
STPT(10)	2159246851955385317	0 2 30 32 72 74 114 116 144 146	590418561168
SPT(16)	2159246938468558097	0 66 90 92 126 146 150 152 174 176 180 200 234 236 260 326	676931733948