Prime p₀= 2568368531339258741 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: [SG-FC] hl
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2568367240386712217	0 26 32 60 84 92 122 126 200 204 234 242 266 294 300 326	-1290952546524
SPT(16)	2568367294659546229	0 28 48 58 82 94 100 142 150 192 198 210 234 244 264 292	-1236679712512
SPT(16)	2568367570314190637	0 12 14 20 54 152 170 314 402 546 564 662 696 702 704 716	-961025068104
SPT(16)	2568367750442640493	0 6 54 70 84 96 100 156 184 240 244 256 270 286 334 340	-780896618248
SPT(16)	2568368051576905873	0 28 114 120 126 138 150 154 180 184 196 208 214 220 306 334	-479762352868
SPT(16)	2568368298675197773	0 6 28 34 58 60 66 84 100 118 124 126 150 156 178 184	-232664060968
SPT(16)	2568368612635928747	0 2 12 24 42 54 56 140 276 360 362 374 392 404 414 416	81296670006
SPT(16)	2568368613043989781	0 82 88 100 132 138 160 168 172 180 202 208 240 252 258 340	81704731040
STPT(10)	2568368661021233669	0 2 18 20 30 32 42 44 60 62	129681974928
SPT(16)	2568368748030307543	0 40 66 114 124 154 156 166 168 178 180 210 220 268 294 334	216691048802
SPT(16)	2568369247914621157	0 40 84 90 132 142 160 180 196 216 234 244 286 292 336 376	716575362416