Prime p₀= 1016569681209628289 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 40 2 40 2 76 2 (?)
a_n: 0 2 78 80 120 122 162 164 240 242
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: 242
Found by: Theadalus
db: batch=76, k=10, 2 76 2 40 2

SPT(13)	1016568497306228003	0 36 96 114 156 174 210 246 264 306 324 384 420	-1183903400286
STPT(10)	1016568727191887951	0 2 6 8 48 50 90 92 96 98	-954017740338
SPT(16)	1016568905196859319	0 12 42 48 54 68 74 120 242 288 294 308 314 320 350 362	-776012768970
SPT(16)	1016569316969911711	0 42 48 52 58 90 130 132 136 138 178 210 216 220 226 268	-364239716578
TPT(14)	1016569404944334977	0 2 72 74 150 152 162 164 180 182 192 194 234 236	-276265293312
STPT(10)	1016569407277941017	0 2 54 56 72 74 90 92 144 146	-273931687272
SPT(16)	1016569911728930371	0 28 36 40 66 88 96 102 106 112 120 142 168 172 180 208	230519302082
STPT(10)	1016569952280428639	0 2 42 44 60 62 78 80 120 122	271070800350
SPT(16)	1016570752409770379	0 8 30 68 84 120 134 170 222 258 272 308 324 362 384 392	1071200142090
STPT(10)	1016570849199144047	0 2 12 14 42 44 72 74 84 86	1167989515758
SPT(16)	1016570879722289291	0 2 8 102 108 122 140 168 362 390 408 422 428 522 528 530	1198512661002