Prime p₀= 2842577382290317337 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 10 2 4 2 10 2 10 2 (?)
a_n: 0 2 12 14 24 26 30 32 42 44 54 56
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: 56
Found by: JayPi
db: batch=82, k=12, 2 10 2 10 2 4

STPT(10)	2842575631687963781	0 2 36 38 78 80 120 122 156 158	-1750602353556
SPT(16)	2842575650398832087	0 20 54 84 90 104 110 116 120 126 132 146 152 182 216 236	-1731891485250
STPT(10)	2842575786586005089	0 2 42 44 90 92 138 140 180 182	-1595704312248
SPT(16)	2842575990661143353	0 14 36 44 108 114 128 168 206 246 260 266 330 338 360 374	-1391629173984
SPT(16)	2842576483774497091	0 12 30 42 48 88 100 118 150 168 180 220 226 238 256 268	-898515820246
SPT(16)	2842576583587736951	0 18 30 48 90 156 158 186 242 270 272 338 380 398 410 428	-798702580386
SPT(16)	2842577998027861063	0 36 40 54 136 150 208 210 214 216 274 288 370 384 388 424	615737543726
STPT(10)	2842578005360673467	0 2 30 32 42 44 54 56 84 86	623070356130
SPT(13)	2842578609160461851	0 30 60 72 78 102 120 138 162 168 180 210 240	1226870144514
TPT(14)	2842578983868447797	0 2 84 86 120 122 150 152 162 164 204 206 294 296	1601578130460
STPT(10)	2842579213857495641	0 2 48 50 198 200 348 350 396 398	1831567178304