Prime p₀= 2667590588881269671 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: Coleslaw
db: batch=82, k=10, 2 4 2 40 2

SPT(16)	2667589948808747929	0 40 64 88 168 178 192 208 234 250 264 274 354 378 402 442	-640072521742
TPT(14)	2667590078137649219	0 2 78 80 90 92 120 122 162 164 258 260 330 332	-510743620452
SPT(16)	2667590305699000313	0 24 56 78 84 86 90 114 140 164 168 170 176 198 230 254	-283182269358
TPT(14)	2667590312911124189	0 2 12 14 30 32 78 80 108 110 162 164 180 182	-275970145482
SPT(16)	2667590471354783549	0 32 72 102 108 120 158 164 198 204 242 254 260 290 330 362	-117526486122
SPT(16)	2667590522881513499	0 8 30 44 62 72 90 134 138 182 200 210 228 242 264 272	-65999756172
STPT(10)	2667590804097809267	0 2 12 14 42 44 72 74 84 86	215216539596
STPT(10)	2667590979942062639	0 2 12 14 90 92 168 170 180 182	391060792968
STPT(10)	2667591215784810251	0 2 66 68 138 140 210 212 276 278	626903540580
SPT(16)	2667592075066643453	0 24 110 138 218 234 248 276 278 306 320 336 416 444 530 554	1486185373782
SPT(16)	2667592378144458473	0 8 18 36 80 144 146 164 210 228 230 294 338 356 366 374	1789263188802