Prime p₀= 2239271854438687667 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 10 2 184 2 10 2 40 2 (?)
a_n: 0 2 42 44 54 56 240 242 252 254 294 296
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: 296
Found by: Landjunge
db: batch=81, k=12, 2 40 2 10 2 184

SPT(16)	2239270462671513721	0 60 72 162 196 198 220 238 270 288 310 312 346 436 448 508	-1391767173946
STPT(10)	2239270571535132137	0 2 30 32 72 74 114 116 144 146	-1282903555530
SPT(16)	2239271051628113207	0 14 42 50 84 92 104 116 210 222 234 242 276 284 312 326	-802810574460
SPT(16)	2239271124177474181	0 16 42 72 138 166 208 210 268 270 312 340 406 436 462 478	-730261213486
SPT(16)	2239271421614125831	0 6 30 72 78 100 106 126 142 162 168 190 196 238 262 268	-432824561836
SPT(16)	2239271516619206921	0 20 26 36 60 66 96 150 218 272 302 308 332 342 348 368	-337819480746
SPT(16)	2239271891663326279	0 28 42 58 88 100 102 114 118 130 132 144 174 190 204 232	37224638612
SPT(16)	2239271924836981019	0 14 30 32 44 60 84 182 252 350 374 390 402 404 420 434	70398293352
SPT(16)	2239272183669666991	0 28 42 48 66 108 138 192 196 250 280 322 340 346 360 388	329230979324
TPT(14)	2239272186146319419	0 2 12 14 102 104 132 134 240 242 252 254 270 272	331707631752
STPT(10)	2239272750612870059	0 2 42 44 90 92 138 140 180 182	896174182392