Prime p₀= 967360022602472687 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)	967358650584594209	0 2 12 30 50 78 120 132 140 152 194 222 242 260 270 272	-1372017878478
SPT(13)	967359052108252711	0 36 48 66 78 96 108 120 138 150 168 180 216	-970494219976
SPT(16)	967359346377606859	0 18 24 28 42 52 78 132 250 304 330 340 354 358 364 382	-676224865828
STPT(10)	967359466040384201	0 2 36 38 78 80 120 122 156 158	-556562088486
SPT(16)	967359696056047529	0 8 20 50 120 140 188 240 242 294 342 362 432 462 474 482	-326546425158
SPT(16)	967359751933060687	0 12 24 40 64 70 102 120 136 154 186 192 216 232 244 256	-270669412000
SPT(16)	967360360792091921	0 18 90 116 120 156 188 198 230 240 272 308 312 338 410 428	338189619234
SPT(16)	967360680055736077	0 42 66 96 126 150 174 184 192 202 226 250 280 310 334 376	657453263390
SPT(16)	967360700486062391	0 38 48 62 92 116 120 126 242 248 252 276 306 320 330 368	677883589704
STPT(10)	967360856112014867	0 2 24 26 42 44 60 62 84 86	833509542180
SPT(16)	967360915031547307	0 40 42 52 64 66 144 154 162 172 250 252 264 274 276 316	892429074620