Prime p₀= 1999356596600559659 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 58 2 34 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 108 110 168 170 180 182
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: 182
Found by: Landjunge
db: batch=80, k=12, 2 10 2 58 2 34

SPT(16)	1999355685625841051	0 18 20 42 56 60 138 168 200 230 308 312 326 348 350 368	-910974718608
SPT(16)	1999355786760437713	0 6 10 54 126 150 156 174 220 238 244 268 340 384 388 394	-809840121946
SPT(16)	1999355897380896091	0 30 60 66 90 130 162 186 202 226 258 298 322 328 358 388	-699219663568
SPT(16)	1999355957923277507	0 42 80 86 92 156 182 210 242 270 296 360 366 372 410 452	-638677282152
STPT(10)	1999356049605520811	0 2 6 8 18 20 30 32 36 38	-546995038848
STPT(10)	1999356513821803217	0 2 42 44 72 74 102 104 144 146	-82778756442
STPT(10)	1999356744128955851	0 2 6 8 48 50 90 92 96 98	147528396192
STPT(10)	1999356826646939729	0 2 12 14 30 32 48 50 60 62	230046380070
SPT(16)	1999356862189021561	0 10 22 42 48 52 70 102 118 150 168 172 178 198 210 220	265588461902
STPT(10)	1999356968450893937	0 2 30 32 42 44 54 56 84 86	371850334278
SPT(16)	1999357039240487951	0 8 90 120 156 162 168 212 216 260 266 272 308 338 420 428	442639928292