Prime p₀= 2944743895893392009 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 10 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 72 74 102 104 132 134
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: 134
Found by: matsu_pl
db: batch=82, k=12, 2 28 2 28 2 10

SPT(16)	2944741534470233243	0 96 110 194 198 230 296 330 404 438 504 536 540 624 638 734	-2361423158766
SPT(16)	2944742563654267399	0 22 88 90 102 112 118 132 190 204 210 220 232 234 300 322	-1332239124610
STPT(10)	2944742761796164751	0 2 36 38 78 80 120 122 156 158	-1134097227258
SPT(16)	2944742856238731971	0 12 62 68 126 132 156 218 300 362 386 392 450 456 506 518	-1039654660038
STPT(10)	2944743399821672591	0 2 6 8 18 20 30 32 36 38	-496071719418
STPT(10)	2944743580808179769	0 2 48 50 90 92 132 134 180 182	-315085212240
TPT(14)	2944744067675216117	0 2 24 26 42 44 120 122 150 152 192 194 390 392	171781824108
TPT(14)	2944744114989870209	0 2 18 20 120 122 132 134 168 170 210 212 258 260	219096478200
TPT(14)	2944744293225905087	0 2 264 266 360 362 372 374 390 392 414 416 420 422	397332513078
SPT(16)	2944744297891737431	0 26 30 32 60 80 150 210 212 272 342 362 390 392 396 422	401998345422
SPT(16)	2944744327310699071	0 28 42 46 60 78 82 120 148 186 190 208 222 226 240 268	431417307062