Prime p₀= 2329492097429608079 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 4 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 48 50 78 80 90 92
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: 92
Found by: Landjunge
db: batch=81, k=12, 2 10 2 28 2 4

STPT(10)	2329491267193166771	0 2 30 32 60 62 90 92 120 122	-830236441308
TPT(14)	2329491386173159379	0 2 12 14 78 80 90 92 108 110 150 152 162 164	-711256448700
SPT(16)	2329491503757517819	0 48 84 108 124 130 144 168 220 244 258 264 280 304 340 388	-593672090260
TPT(14)	2329491993236411777	0 2 72 74 90 92 102 104 114 116 132 134 180 182	-104193196302
STPT(10)	2329491993236411849	0 2 18 20 30 32 42 44 60 62	-104193196230
SPT(16)	2329492082621404199	0 2 30 74 78 98 120 144 158 182 204 224 228 272 300 302	-14808203880
SPT(16)	2329492273169439011	0 36 78 102 168 242 258 282 326 350 366 440 506 530 572 608	175739830932
STPT(10)	2329492390402096919	0 2 18 20 30 32 42 44 60 62	292972488840
SPT(16)	2329492530347496901	0 22 58 70 132 148 162 168 232 238 252 268 330 342 378 400	432917888822
SPT(16)	2329493090600596099	0 40 54 70 82 102 132 138 154 160 190 210 222 238 252 292	993170988020
SPT(16)	2329493159314288637	0 26 60 80 90 132 174 186 350 362 404 446 456 476 510 536	1061884680558