Prime p₀= 1016599739028152957 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: Theadalus
db: batch=76, k=10, 2 10 2 28 2

TPT(14)	1016598402845158421	0 2 138 140 168 170 210 212 288 290 390 392 486 488	-1336182994536
STPT(10)	1016598631301374577	0 2 30 32 42 44 54 56 84 86	-1107726778380
SPT(16)	1016599048172375197	0 12 22 66 90 96 112 124 132 144 160 166 190 234 244 256	-690855777760
SPT(16)	1016599147536773873	0 8 20 44 56 80 114 120 134 140 174 198 210 234 246 254	-591491379084
SPT(16)	1016599351400143571	0 26 32 68 168 186 216 242 246 272 302 320 420 456 462 488	-387628009386
STPT(10)	1016599594131873509	0 2 18 20 30 32 42 44 60 62	-144896279448
STPT(10)	1016599876389163271	0 2 6 8 18 20 30 32 36 38	137361010314
SPT(16)	1016600110663688641	0 28 30 72 88 90 96 132 166 202 208 210 226 268 270 298	371635535684
SPT(16)	1016600157690658217	0 26 32 36 62 120 122 152 174 204 206 264 290 294 300 326	418662505260
STPT(10)	1016600523658293179	0 2 12 14 90 92 168 170 180 182	784630140222
SPT(16)	1016600529712503227	0 104 116 140 170 182 242 254 312 324 384 396 426 450 462 566	790684350270