Prime p₀= 2352730069733846987 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 16 2 52 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 114 116 132 134 174 176
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: 176
Found by: Landjunge
db: batch=81, k=12, 2 40 2 16 2 52

STPT(10)	2352728893649409599	0 2 18 20 60 62 102 104 120 122	-1176084437388
SPT(16)	2352728953376052527	0 14 24 80 146 152 156 182 264 290 294 300 366 422 432 446	-1116357794460
SPT(16)	2352729026593173307	0 10 30 66 72 76 106 114 322 330 360 364 370 406 426 436	-1043140673680
SPT(18)	2352729704567060173	0 10 18 66 76 78 106 148 168 196 216 258 286 288 298 346 354 364	-365166786814
SPT(16)	2352729735318328063	0 24 46 60 64 66 106 126 148 168 208 210 214 228 250 274	-334415518924
SPT(16)	2352729956933230331	0 2 32 42 62 86 122 132 200 210 246 270 290 300 330 332	-112800616656
SPT(16)	2352730377011945663	0 36 84 90 108 134 206 230 264 288 360 386 404 410 458 494	307278098676
STPT(10)	2352730634994557507	0 2 30 32 42 44 54 56 84 86	565260710520
SPT(16)	2352730917790074769	0 34 82 120 124 190 192 204 238 250 252 318 322 360 408 442	848056227782
SPT(16)	2352731019791257841	0 30 32 36 66 102 126 150 218 242 266 302 332 336 338 368	950057410854
SPT(16)	2352731298063058009	0 10 18 48 60 70 100 118 234 252 282 292 304 334 342 352	1228329211022