Prime p₀= 1267799361791246951 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Megacruncher
db: batch=77, k=10, 2 4 2 10 2

SPT(16)	1267797861784943353	0 16 28 76 126 144 148 228 256 336 340 358 408 456 468 484	-1500006303598
SPT(16)	1267798097628371579	0 12 32 44 50 72 84 102 110 128 140 162 168 180 200 212	-1264162875372
TPT(14)	1267798256969271089	0 2 12 14 72 74 102 104 108 110 150 152 192 194	-1104821975862
TPT(14)	1267798310954136329	0 2 18 20 30 32 60 62 102 104 198 200 258 260	-1050837110622
SPT(16)	1267798578530730313	0 18 70 78 88 130 156 184 210 238 264 306 316 324 376 394	-783260516638
SPT(16)	1267798904660373511	0 40 66 96 150 178 208 216 220 228 258 286 340 370 396 436	-457130873440
SPT(16)	1267799564044439383	0 16 60 84 96 114 144 150 214 220 250 268 280 304 348 364	202253192432
STPT(10)	1267799676944546111	0 2 36 38 78 80 120 122 156 158	315153299160
STPT(10)	1267799934525240119	0 2 12 14 90 92 168 170 180 182	572733993168
STPT(10)	1267800028121768597	0 2 30 32 42 44 54 56 84 86	666330521646
SPT(16)	1267800671599820923	0 4 6 34 36 70 76 88 126 138 144 178 180 208 210 214	1309808573972