Prime p₀= 2116989602047553369 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)	2116988276985183047	0 6 20 102 122 132 150 206 210 266 284 294 314 396 410 416	-1325062370322
SPT(16)	2116988353603377911	0 18 26 42 56 90 138 152 186 200 248 282 296 312 320 338	-1248444175458
SPT(16)	2116988484028548947	0 20 56 60 84 104 146 150 260 264 306 326 350 354 390 410	-1118019004422
SPT(16)	2116988766321298757	0 44 56 84 90 96 164 186 194 216 284 290 296 324 336 380	-835726254612
SPT(16)	2116988869129664819	0 14 24 38 42 78 84 92 120 128 134 170 174 188 198 212	-732917888550
SPT(16)	2116988913623027077	0 30 34 60 64 72 84 132 184 232 244 252 256 282 286 316	-688424526292
STPT(10)	2116989651346555961	0 2 96 98 108 110 120 122 216 218	49299002592
SPT(16)	2116989976843734677	0 2 60 122 144 164 192 222 254 284 312 332 354 416 474 476	374796181308
SPT(16)	2116990018082592001	0 10 30 40 46 48 70 88 138 156 178 180 186 196 216 226	416035038632
STPT(12)	2116990085773356839	0 2 12 14 42 44 48 50 78 80 90 92	483725803470
SPT(16)	2116990307067715949	0 50 62 72 80 102 122 140 150 168 188 210 218 228 240 290	705020162580