Prime p₀= 2496724932732513149 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)	2496724037549274343	0 4 40 90 96 144 156 186 208 238 250 298 304 354 390 394	-895183238806
STPT(10)	2496724085411632169	0 2 30 32 60 62 90 92 120 122	-847320880980
STPT(10)	2496724087283441339	0 2 18 20 60 62 102 104 120 122	-845449071810
SPT(16)	2496724417168871423	0 8 14 66 74 84 98 134 150 186 200 210 218 270 276 284	-515563641726
SPT(16)	2496724518283403971	0 12 30 36 58 70 72 76 162 166 168 180 202 208 226 238	-414449109178
STPT(10)	2496724898178339467	0 2 60 62 72 74 84 86 144 146	-34554173682
TPT(14)	2496725001234497309	0 2 12 14 78 80 90 92 108 110 132 134 168 170	68501984160
SPT(16)	2496725041670203199	0 20 42 108 114 122 192 198 284 290 360 368 374 440 462 482	108937690050
SPT(16)	2496725270462216929	0 18 28 72 78 88 90 100 120 130 132 142 148 192 202 220	337729703780
STPT(10)	2496726760308924929	0 2 30 32 60 62 90 92 120 122	1827576411780
SPT(16)	2496726963934807817	0 2 44 96 120 132 146 182 204 240 254 266 290 342 384 386	2031202294668