Prime p₀= 724934596892136539 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

STPT(10)	724933934326786451	0 2 36 38 78 80 120 122 156 158	-662565350088
SPT(16)	724934023197589901	0 12 20 26 62 92 120 132 296 308 336 366 402 408 416 428	-573694546638
SPT(16)	724934024077195921	0 28 58 66 72 88 108 160 228 280 300 316 322 330 360 388	-572814940618
STPT(10)	724934037298321469	0 2 12 14 90 92 168 170 180 182	-559593815070
STPT(10)	724934042765580689	0 2 18 20 30 32 42 44 60 62	-554126555850
TPT(14)	724934442110438009	0 2 30 32 102 104 270 272 282 284 300 302 372 374	-154781698530
SPT(16)	724934762961811147	0 12 22 30 36 42 70 76 120 126 154 160 166 174 184 196	166069674608
SPT(16)	724935255167461669	0 42 48 70 112 154 168 174 238 244 258 300 342 364 370 412	658275325130
STPT(10)	724935283381799489	0 2 18 20 30 32 42 44 60 62	686489662950
SPT(16)	724935491655926933	0 44 56 68 74 96 104 116 198 210 218 240 246 258 270 314	894763790394
SPT(16)	724935591975843251	0 6 42 86 210 240 266 290 342 366 392 422 546 590 626 632	995083706712