Prime p₀= 967360856112014867 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Conan
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	967359696056047529	0 8 20 50 120 140 188 240 242 294 342 362 432 462 474 482	-1160055967338
SPT(16)	967359751933060687	0 12 24 40 64 70 102 120 136 154 186 192 216 232 244 256	-1104178954180
STPT(10)	967360022602472687	0 2 24 26 42 44 60 62 84 86	-833509542180
SPT(16)	967360360792091921	0 18 90 116 120 156 188 198 230 240 272 308 312 338 410 428	-495319922946
SPT(16)	967360680055736077	0 42 66 96 126 150 174 184 192 202 226 250 280 310 334 376	-176056278790
SPT(16)	967360700486062391	0 38 48 62 92 116 120 126 242 248 252 276 306 320 330 368	-155625952476
SPT(16)	967360915031547307	0 40 42 52 64 66 144 154 162 172 250 252 264 274 276 316	58919532440
SPT(16)	967361011072165249	0 12 30 42 78 82 108 114 148 154 180 184 220 232 250 262	154960150382
STPT(10)	967361363604542087	0 2 30 32 42 44 54 56 84 86	507492527220
SPT(16)	967361436344769229	0 4 18 40 70 88 102 108 124 130 144 162 192 214 228 232	580232754362
STPT(10)	967361588669462417	0 2 30 32 72 74 114 116 144 146	732557447550