Prime p₀= 2091138564941252039 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=80, k=12, 2 10 2 28 2 4

SPT(16)	2091137415326948017	0 46 72 82 84 112 150 162 214 226 264 292 294 304 330 376	-1149614304022
SPT(16)	2091137442864527293	0 70 88 190 208 244 300 304 330 334 390 426 444 546 564 634	-1122076724746
SPT(16)	2091137458766371343	0 20 48 54 56 60 66 80 84 98 104 108 110 116 144 164	-1106174880696
TPT(14)	2091137914764181991	0 2 66 68 138 140 156 158 168 170 246 248 276 278	-650177070048
SPT(16)	2091138156522122237	0 6 14 32 84 90 116 122 204 210 236 242 294 312 320 326	-408419129802
SPT(13)	2091138232633645007	0 36 42 60 120 180 186 192 252 312 330 336 372	-332307607032
STPT(10)	2091138842840255177	0 2 54 56 72 74 90 92 144 146	277899003138
STPT(10)	2091138913240686887	0 2 30 32 42 44 54 56 84 86	348299434848
SPT(16)	2091139203725929309	0 40 54 72 84 94 124 144 148 168 198 208 220 238 252 292	638784677270
STPT(10)	2091139281256595621	0 2 6 8 18 20 30 32 36 38	716315343582
SPT(16)	2091139336225748467	0 36 42 46 52 96 102 112 180 190 196 240 246 250 256 292	771284496428