Prime p₀= 2392264196384002319 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 34 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 78 80 108 110 120 122
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=81, k=12, 2 10 2 28 2 34

SPT(16)	2392262966765080351	0 10 22 48 60 78 90 112 186 208 220 238 250 276 288 298	-1229618921968
SPT(16)	2392263413174304149	0 12 30 54 60 62 72 110 162 200 210 212 218 242 260 272	-783209698170
SPT(16)	2392263531945449009	0 18 42 92 108 138 152 158 162 168 182 212 228 278 302 320	-664438553310
SPT(16)	2392263661302997369	0 12 24 28 60 132 150 160 192 202 220 292 324 328 340 352	-535081004950
STPT(10)	2392263867932730887	0 2 30 32 42 44 54 56 84 86	-328451271432
TPT(14)	2392264152175274471	0 2 48 50 78 80 96 98 180 182 210 212 306 308	-44208727848
SPT(16)	2392264287619227733	0 24 40 48 70 78 90 118 126 154 166 174 196 204 220 244	91235225414
SPT(13)	2392264342061020747	0 24 60 66 90 150 180 210 270 294 300 336 360	145677018428
SPT(16)	2392264723750218571	0 18 42 60 78 118 130 282 328 480 492 532 550 568 592 610	527366216252
SPT(18)	2392264745574943871	0 36 56 78 98 108 132 150 162 176 188 206 230 240 260 282 302 338	549190941552
SPT(16)	2392264796503309613	0 48 78 96 144 158 176 210 314 348 366 380 428 446 476 524	600119307294