Prime p₀= 2576807804351933939 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 4 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 48 50 78 80 90 92
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: 92
Found by: [SG]ATA-Rolf
db: batch=82, k=12, 2 10 2 28 2 4

SPT(16)	2576806080612553061	0 20 30 56 86 90 96 132 230 266 272 276 306 332 342 362	-1723739380878
SPT(16)	2576806159162965683	0 24 38 84 90 116 150 254 330 434 468 494 500 546 560 584	-1645188968256
STPT(10)	2576806731070782011	0 2 6 8 48 50 90 92 96 98	-1073281151928
SPT(16)	2576807120853987289	0 28 30 42 48 64 90 102 130 142 168 184 190 202 204 232	-683497946650
SPT(16)	2576807547683016173	0 18 56 78 144 164 180 198 206 224 240 260 326 348 386 404	-256668917766
TPT(14)	2576807755048298687	0 2 42 44 84 86 144 146 180 182 210 212 282 284	-49303635252
SPT(16)	2576808168907019057	0 6 14 20 26 36 50 86 180 216 230 240 246 252 260 266	364555085118
STPT(10)	2576808254264944727	0 2 30 32 42 44 54 56 84 86	449913010788
SPT(16)	2576808348838548841	0 16 42 46 48 60 156 178 210 232 328 340 342 346 372 388	544486614902
STPT(10)	2576808420386152571	0 2 90 92 150 152 210 212 300 302	616034218632
STPT(10)	2576808594441179669	0 2 18 20 30 32 42 44 60 62	790089245730