Prime p₀= 2308277067380891597 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 58 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 102 104 132 134 144 146
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: 146
Found by: Orange Kid
db: batch=81, k=12, 2 10 2 28 2 58

TPT(14)	2308275211897451129	0 2 12 14 48 50 168 170 282 284 342 344 348 350	-1855483440468
SPT(16)	2308275319769861581	0 6 46 52 66 90 96 130 132 166 172 196 210 216 256 262	-1747611030016
STPT(10)	2308275449490548189	0 2 42 44 120 122 198 200 240 242	-1617890343408
SPT(16)	2308276406222404307	0 32 50 60 74 84 104 182 204 282 302 312 326 336 354 386	-661158487290
SPT(16)	2308276531368972419	0 30 38 68 78 90 92 120 140 168 170 182 192 222 230 260	-536011919178
STPT(10)	2308276645444692677	0 2 42 44 72 74 102 104 144 146	-421936198920
SPT(16)	2308277137264741169	0 18 30 44 72 98 120 132 170 182 204 230 258 272 284 302	69883849572
SPT(16)	2308277975798631049	0 30 48 82 154 168 210 220 222 232 274 288 360 394 412 442	908417739452
STPT(10)	2308278625746409439	0 2 12 14 30 32 48 50 60 62	1558365517842
SPT(16)	2308278645343210459	0 10 108 112 118 168 190 192 220 222 244 294 300 304 402 412	1577962318862
SPT(16)	2308278854880777641	0 18 30 32 38 42 48 90 98 140 146 150 156 158 170 188	1787499886044