Prime p₀= 2080965457583782919 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 34 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 78 80 90 92 120 122
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: 122
Found by: Landjunge
db: batch=80, k=12, 2 28 2 10 2 34

TPT(14)	2080964118306109997	0 2 120 122 174 176 270 272 330 332 354 356 462 464	-1339277672922
SPT(16)	2080964630088155467	0 6 24 36 60 90 94 96 160 162 166 196 220 232 250 256	-827495627452
SPT(16)	2080964873060219767	0 4 24 34 84 90 102 154 192 244 256 262 312 322 342 346	-584523563152
SPT(16)	2080964912135984543	0 14 26 30 50 78 86 96 128 138 146 174 194 198 210 224	-545447798376
SPT(16)	2080965278710195247	0 12 14 30 60 62 122 140 156 174 234 236 266 282 284 296	-178873587672
SPT(16)	2080965412179345031	0 40 60 88 90 112 126 138 190 202 216 238 240 268 288 328	-45404437888
STPT(10)	2080965468089594627	0 2 30 32 72 74 114 116 144 146	10505811708
SPT(16)	2080965985887946771	0 40 42 60 66 70 78 126 172 220 228 232 238 256 258 298	528304163852
STPT(10)	2080966025217358421	0 2 6 8 18 20 30 32 36 38	567633575502
STPT(10)	2080966171293695501	0 2 6 8 48 50 90 92 96 98	713709912582
TPT(14)	2080966323499516547	0 2 42 44 54 56 162 164 174 176 180 182 384 386	865915733628