Prime p₀= 2676347608143765737 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: JayPi
db: batch=82, k=10, 2 22 2 16 2

TPT(14)	2676346475622326237	0 2 12 14 150 152 174 176 300 302 342 344 420 422	-1132521439500
STPT(10)	2676346482297007571	0 2 6 8 18 20 30 32 36 38	-1125846758166
STPT(10)	2676346700377668287	0 2 30 32 72 74 114 116 144 146	-907766097450
SPT(16)	2676346995609014491	0 30 60 66 70 108 168 180 196 208 268 306 310 316 346 376	-612534751246
STPT(10)	2676347125276037921	0 2 36 38 78 80 120 122 156 158	-482867727816
TPT(14)	2676347440422581459	0 2 18 20 30 32 42 44 72 74 78 80 132 134	-167721184278
SPT(16)	2676347879603001419	0 32 50 62 98 170 182 252 260 330 342 414 450 462 480 512	271459235682
SPT(16)	2676348062883588319	0 30 48 64 70 72 78 102 130 154 160 162 168 184 202 232	454739822582
SPT(16)	2676348079819930891	0 18 42 78 90 100 112 130 198 216 228 238 250 286 310 328	471676165154
STPT(10)	2676349289449387337	0 2 30 32 60 62 90 92 120 122	1681305621600
STPT(10)	2676349626858943307	0 2 30 32 42 44 54 56 84 86	2018715177570