Prime p₀= 724934042765580689 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: stasieks
db: batch=73, k=10, 2 16 2 10 2

SPT(16)	724933011898445573	0 14 26 44 56 66 146 164 300 318 398 408 420 438 450 464	-1030867135116
STPT(10)	724933226887113059	0 2 12 14 30 32 48 50 60 62	-815878467630
STPT(10)	724933934326786451	0 2 36 38 78 80 120 122 156 158	-108438794238
SPT(16)	724934023197589901	0 12 20 26 62 92 120 132 296 308 336 366 402 408 416 428	-19567990788
SPT(16)	724934024077195921	0 28 58 66 72 88 108 160 228 280 300 316 322 330 360 388	-18688384768
STPT(10)	724934037298321469	0 2 12 14 90 92 168 170 180 182	-5467259220
TPT(14)	724934442110438009	0 2 30 32 102 104 270 272 282 284 300 302 372 374	399344857320
STPT(10)	724934596892136539	0 2 18 20 30 32 42 44 60 62	554126555850
SPT(16)	724934762961811147	0 12 22 30 36 42 70 76 120 126 154 160 166 174 184 196	720196230458
SPT(16)	724935255167461669	0 42 48 70 112 154 168 174 238 244 258 300 342 364 370 412	1212401880980
STPT(10)	724935283381799489	0 2 18 20 30 32 42 44 60 62	1240616218800