Prime p₀= 2338588920676528307 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 16 2 22 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 54 56 72 74 84 86
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: 86
Found by: Landjunge
db: batch=81, k=12, 2 10 2 16 2 22

TPT(14)	2338587795284265071	0 2 150 152 156 158 420 422 456 458 576 578 600 602	-1125392263236
SPT(16)	2338588100435569069	0 40 90 138 162 204 294 300 322 328 418 460 484 532 582 622	-820240959238
STPT(12)	2338588348760812607	0 2 42 44 90 92 174 176 222 224 264 266	-571915715700
STPT(10)	2338588578226004981	0 2 30 32 60 62 90 92 120 122	-342450523326
TPT(14)	2338588886003328599	0 2 42 44 90 92 102 104 168 170 198 200 222 224	-34673199708
SPT(16)	2338588903072100747	0 12 50 80 90 144 146 162 164 180 182 236 246 276 314 326	-17604427560
SPT(16)	2338589399769361073	0 66 90 98 114 156 206 210 254 258 308 350 366 374 398 464	479092832766
TPT(14)	2338589475197794307	0 2 60 62 102 104 144 146 222 224 234 236 240 242	554521266000
STPT(10)	2338589524288758077	0 2 30 32 42 44 54 56 84 86	603612229770
STPT(10)	2338589563474663451	0 2 78 80 138 140 198 200 276 278	642798135144
SPT(16)	2338589771891111461	0 6 10 28 76 136 210 220 228 238 312 372 420 438 442 448	851214583154