Prime p₀= 1013234228991134609 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: Theadalus
db: batch=76, k=10, 2 16 2 10 2

STPT(10)	1013231986511563409	0 2 48 50 90 92 132 134 180 182	-2242479571200
STPT(10)	1013232086268356621	0 2 6 8 18 20 30 32 36 38	-2142722777988
STPT(10)	1013232692484187421	0 2 30 32 120 122 210 212 240 242	-1536506947188
SPT(13)	1013233100608744879	0 78 120 132 168 180 210 240 252 288 300 342 420	-1128382389730
SPT(16)	1013233856120838031	0 10 12 102 148 172 180 198 220 238 246 270 316 406 408 418	-372870296578
SPT(16)	1013234188335491443	0 10 16 24 66 76 100 154 180 234 258 268 310 318 324 334	-40655643166
SPT(16)	1013234452317652771	0 40 72 90 118 142 162 192 208 238 258 282 310 328 360 400	223326518162
STPT(10)	1013235366610959431	0 2 30 32 60 62 90 92 120 122	1137619824822
SPT(16)	1013235385951206589	0 12 54 72 78 100 112 124 138 150 162 184 190 208 250 262	1156960071980
STPT(12)	1013235638725790021	0 2 36 38 48 50 78 80 90 92 126 128	1409734655412
SPT(16)	1013236724893490051	0 26 42 50 56 78 146 152 276 282 350 372 378 386 402 428	2495902355442