Prime p₀= 2556569217328113341 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: [SG-FC] hl
db: batch=82, k=10, 2 4 2 40 2

STPT(10)	2556567543742510367	0 2 24 26 42 44 60 62 84 86	-1673585602974
SPT(13)	2556568123196981857	0 42 60 66 90 120 126 132 162 186 192 210 252	-1094131131484
STPT(10)	2556568269894711827	0 2 42 44 72 74 102 104 144 146	-947433401514
SPT(16)	2556569022574039391	0 18 20 32 50 98 122 218 240 336 360 408 426 438 440 458	-194754073950
STPT(10)	2556569118553800137	0 2 60 62 72 74 84 86 144 146	-98774313204
SPT(16)	2556569200850157431	0 78 92 102 108 110 116 122 156 162 168 170 176 186 200 278	-16477955910
SPT(16)	2556569220929117357	0 6 144 146 182 200 216 234 242 260 276 294 330 332 470 476	3601004016
SPT(16)	2556569488613920301	0 12 26 42 86 126 176 198 200 222 272 312 356 372 386 398	271285806960
STPT(10)	2556569584110456767	0 2 30 32 72 74 114 116 144 146	366782343426
SPT(16)	2556569844987143239	0 4 18 70 72 78 102 114 148 160 184 190 192 244 258 262	627659029898
SPT(16)	2556570056048880643	0 46 48 70 144 154 156 178 336 358 360 370 444 466 468 514	838720767302