Prime p₀= 2261623237421553191 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 40 2 34 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 96 98 138 140 156 158
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: 158
Found by: raddoc
db: batch=81, k=12, 2 16 2 40 2 34

SPT(18)	2261621912483671919	0 12 30 32 62 80 102 114 168 254 308 320 342 360 390 392 410 422	-1324937881272
STPT(10)	2261621955549855719	0 2 42 44 60 62 78 80 120 122	-1281871697472
SPT(16)	2261622184748404463	0 20 38 68 86 98 110 116 138 144 156 168 186 216 234 254	-1052673148728
SPT(16)	2261622341114659703	0 6 20 66 74 78 138 140 354 356 416 420 428 474 488 494	-896306893488
SPT(16)	2261622395109311111	0 12 20 26 72 78 86 96 122 132 140 146 192 198 206 218	-842312242080
SPT(16)	2261622988012113301	0 6 10 42 66 72 88 148 240 300 316 322 346 378 382 388	-249409439890
STPT(10)	2261623314344947667	0 2 72 74 102 104 132 134 204 206	76923394476
SPT(16)	2261623372805087311	0 16 76 82 96 100 102 186 196 280 282 286 300 306 366 382	135383534120
STPT(10)	2261623723818453749	0 2 18 20 30 32 42 44 60 62	486396900558
TPT(14)	2261623769504047061	0 2 78 80 120 122 126 128 180 182 240 242 330 332	532082493870
STPT(10)	2261624168871317111	0 2 36 38 78 80 120 122 156 158	931449763920