Prime p₀= 2544131449540549439 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: JayPi
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2544130143686206171	0 10 88 130 160 228 238 250 348 360 370 438 468 510 588 598	-1305854343268
STPT(12)	2544130463816835119	0 2 18 20 42 44 48 50 72 74 90 92	-985723714320
SPT(16)	2544130658150464657	0 4 24 54 70 94 130 162 172 204 240 264 280 310 330 334	-791390084782
SPT(13)	2544131159236960331	0 120 126 132 162 246 276 306 390 420 426 432 552	-290303589108
STPT(10)	2544131339933826059	0 2 18 20 30 32 42 44 60 62	-109606723380
STPT(10)	2544131433523271531	0 2 30 32 60 62 90 92 120 122	-16017277908
SPT(16)	2544131464305067883	0 44 68 74 78 98 114 116 138 140 156 176 180 186 210 254	14764518444
SPT(16)	2544132351080957737	0 34 42 70 90 106 112 162 184 234 240 256 276 304 312 346	901540408298
SPT(16)	2544132552536847989	0 2 8 14 44 72 78 92 120 134 140 168 198 204 210 212	1102996298550
SPT(16)	2544133742944202011	0 16 18 58 82 88 180 198 220 238 330 336 360 400 402 418	2293403652572
SPT(16)	2544134018281678129	0 4 42 58 82 84 112 150 202 240 268 270 294 310 348 352	2568741128690