Prime p₀= 1016569952280428639 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: Theadalus
db: batch=76, k=10, 2 40 2 16 2

SPT(16)	1016568905196859319	0 12 42 48 54 68 74 120 242 288 294 308 314 320 350 362	-1047083569320
SPT(16)	1016569316969911711	0 42 48 52 58 90 130 132 136 138 178 210 216 220 226 268	-635310516928
TPT(14)	1016569404944334977	0 2 72 74 150 152 162 164 180 182 192 194 234 236	-547336093662
STPT(10)	1016569407277941017	0 2 54 56 72 74 90 92 144 146	-545002487622
STPT(10)	1016569681209628289	0 2 78 80 120 122 162 164 240 242	-271070800350
SPT(16)	1016569911728930371	0 28 36 40 66 88 96 102 106 112 120 142 168 172 180 208	-40551498268
SPT(16)	1016570752409770379	0 8 30 68 84 120 134 170 222 258 272 308 324 362 384 392	800129341740
STPT(10)	1016570849199144047	0 2 12 14 42 44 72 74 84 86	896918715408
SPT(16)	1016570879722289291	0 2 8 102 108 122 140 168 362 390 408 422 428 522 528 530	927441860652
STPT(10)	1016570932304318561	0 2 30 32 78 80 126 128 156 158	980023889922
SPT(16)	1016571003029137837	0 4 40 54 130 142 144 154 222 232 234 246 322 336 372 376	1050748709198