Prime p₀= 2544134037917169749 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: Penguin
db: batch=82, k=10, 2 16 2 10 2

STPT(10)	2544131449540549439	0 2 18 20 30 32 42 44 60 62	-2588376620310
SPT(16)	2544131464305067883	0 44 68 74 78 98 114 116 138 140 156 176 180 186 210 254	-2573612101866
SPT(16)	2544132351080957737	0 34 42 70 90 106 112 162 184 234 240 256 276 304 312 346	-1686836212012
SPT(16)	2544132552536847989	0 2 8 14 44 72 78 92 120 134 140 168 198 204 210 212	-1485380321760
SPT(16)	2544133742944202011	0 16 18 58 82 88 180 198 220 238 330 336 360 400 402 418	-294972967738
SPT(16)	2544134018281678129	0 4 42 58 82 84 112 150 202 240 268 270 294 310 348 352	-19635491620
STPT(10)	2544134071498437989	0 2 18 20 30 32 42 44 60 62	33581268240
STPT(10)	2544134320270795919	0 2 42 44 60 62 78 80 120 122	282353626170
SPT(16)	2544134408676865897	0 34 106 114 120 162 204 222 274 292 334 376 382 390 462 496	370759696148
STPT(10)	2544134410584234731	0 2 6 8 48 50 90 92 96 98	372667064982
SPT(16)	2544134467157821663	0 10 66 76 94 114 124 156 178 210 220 240 258 268 324 334	429240651914