Prime p₀= 2364155143795674569 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 70 2 58 2 4 2 58 2 70 2 (?)
a_n: 0 2 72 74 132 134 138 140 198 200 270 272
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 272
Found by: meadoel
db: batch=81, k=12, 2 70 2 58 2 4

SPT(16)	2364154505690370541	0 22 100 108 172 196 232 298 420 486 522 546 610 618 696 718	-638105304028
SPT(16)	2364154746568755487	0 34 40 64 76 84 96 102 184 190 202 210 222 246 252 286	-397226919082
SPT(16)	2364154947953401699	0 24 40 90 108 150 154 162 220 228 232 274 292 342 358 382	-195842272870
SPT(16)	2364154956790615229	0 20 24 44 54 68 90 150 152 212 234 248 258 278 282 302	-187005059340
SPT(16)	2364155018365613461	0 6 30 42 46 48 72 76 102 106 130 132 136 148 172 178	-125430061108
STPT(12)	2364155062967414621	0 2 36 38 90 92 156 158 210 212 246 248	-80828259948
SPT(16)	2364155404386979153	0 58 90 126 166 214 234 298 306 370 390 438 478 514 546 604	260591304584
SPT(16)	2364156784796879563	0 46 58 108 138 144 154 168 196 210 220 226 256 306 318 364	1641001204994
STPT(10)	2364156934664352827	0 2 24 26 42 44 60 62 84 86	1790868678258
SPT(18)	2364156971806841711	0 36 38 42 66 80 92 126 146 192 212 246 258 272 296 300 302 338	1828011167142
SPT(16)	2364157262181180989	0 12 18 32 42 80 102 150 182 230 252 290 300 314 320 332	2118385506420