Prime p₀= 1016599876389163271 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: Theadalus
db: batch=76, k=10, 2 4 2 10 2

STPT(10)	1016598631301374577	0 2 30 32 42 44 54 56 84 86	-1245087788694
SPT(16)	1016599048172375197	0 12 22 66 90 96 112 124 132 144 160 166 190 234 244 256	-828216788074
SPT(16)	1016599147536773873	0 8 20 44 56 80 114 120 134 140 174 198 210 234 246 254	-728852389398
SPT(16)	1016599351400143571	0 26 32 68 168 186 216 242 246 272 302 320 420 456 462 488	-524989019700
STPT(10)	1016599594131873509	0 2 18 20 30 32 42 44 60 62	-282257289762
STPT(10)	1016599739028152957	0 2 12 14 42 44 72 74 84 86	-137361010314
SPT(16)	1016600110663688641	0 28 30 72 88 90 96 132 166 202 208 210 226 268 270 298	234274525370
SPT(16)	1016600157690658217	0 26 32 36 62 120 122 152 174 204 206 264 290 294 300 326	281301494946
STPT(10)	1016600523658293179	0 2 12 14 90 92 168 170 180 182	647269129908
SPT(16)	1016600529712503227	0 104 116 140 170 182 242 254 312 324 384 396 426 450 462 566	653323339956
STPT(10)	1016600619548292827	0 2 42 44 72 74 102 104 144 146	743159129556