Prime p₀= 2507686574657001887 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 88 2 88 2 28 2 (?)
a_n: 0 2 30 32 120 122 210 212 240 242
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: 242
Found by: JayPi
db: batch=82, k=10, 2 28 2 88 2

SPT(16)	2507684627192593139	0 20 30 78 90 92 114 128 174 188 210 212 224 272 282 302	-1947464408748
STPT(10)	2507685461680377059	0 2 12 14 90 92 168 170 180 182	-1112976624828
SPT(16)	2507685549451872793	0 34 48 70 94 106 124 136 138 150 168 180 204 226 240 274	-1025205129094
SPT(16)	2507685909321555791	0 8 30 56 72 86 110 122 126 138 162 176 192 218 240 248	-665335446096
STPT(10)	2507686030994465129	0 2 48 50 90 92 132 134 180 182	-543662536758
STPT(10)	2507686111248227867	0 2 42 44 72 74 102 104 144 146	-463408774020
STPT(10)	2507686899984645521	0 2 6 8 18 20 30 32 36 38	325327643634
STPT(10)	2507687076990493631	0 2 36 38 78 80 120 122 156 158	502333491744
SPT(16)	2507687103139367819	0 20 50 54 98 104 108 120 152 164 168 174 218 222 252 272	528482365932
SPT(16)	2507687189320510787	0 44 50 74 84 176 200 204 206 210 234 326 336 360 366 410	614663508900
STPT(10)	2507687354627568227	0 2 72 74 102 104 132 134 204 206	779970566340