Prime p₀= 2365069278970976267 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Landjunge
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2365066857178013047	0 12 96 114 126 142 154 166 180 192 204 220 232 250 334 346	-2421792963220
STPT(10)	2365067678828454539	0 2 42 44 60 62 78 80 120 122	-1600142521728
STPT(10)	2365068142892891879	0 2 18 20 60 62 102 104 120 122	-1136078084388
SPT(16)	2365068585578669041	0 22 42 52 100 112 130 136 162 168 186 198 246 256 276 298	-693392307226
STPT(10)	2365068682611193187	0 2 12 14 222 224 432 434 444 446	-596359783080
SPT(16)	2365068838705404127	0 4 6 10 22 46 52 64 72 84 90 114 126 130 132 136	-440265572140
STPT(10)	2365069301970187991	0 2 6 8 48 50 90 92 96 98	22999211724
STPT(10)	2365069398436159949	0 2 42 44 120 122 198 200 240 242	119465183682
TPT(14)	2365069418006393849	0 2 18 20 90 92 102 104 168 170 210 212 282 284	139035417582
SPT(16)	2365069983247079959	0 12 54 78 100 112 132 154 168 190 210 222 244 268 310 322	704276103692
STPT(10)	2365070567311473137	0 2 30 32 42 44 54 56 84 86	1288340496870