Prime p₀= 2349036362447635277 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: JayPi
db: batch=81, k=12, 2 28 2 28 2 10

STPT(10)	2349033670959908687	0 2 60 62 72 74 84 86 144 146	-2691487726590
TPT(14)	2349034746146796467	0 2 12 14 84 86 114 116 180 182 222 224 240 242	-1616300838810
SPT(16)	2349035058928606093	0 28 36 64 66 94 100 138 166 204 210 238 240 268 276 304	-1303519029184
STPT(10)	2349035396673535049	0 2 18 20 30 32 42 44 60 62	-965774100228
SPT(16)	2349035951463017119	0 34 70 72 90 120 132 174 268 310 322 352 370 372 408 442	-410984618158
SPT(16)	2349036322121010779	0 12 32 50 54 104 132 174 188 230 258 308 312 330 350 362	-40326624498
SPT(16)	2349037019446609337	0 6 20 32 42 44 60 72 74 86 102 104 114 126 140 146	656998974060
SPT(16)	2349037520206142371	0 12 16 40 46 48 78 88 240 250 280 282 288 312 316 328	1157758507094
STPT(10)	2349037598106598739	0 2 18 20 30 32 42 44 60 62	1235658963462
SPT(16)	2349037703136214073	0 20 86 96 110 128 156 158 168 170 198 216 230 240 306 326	1340688578796
SPT(16)	2349037936138663117	0 12 24 40 46 102 112 124 132 144 154 210 216 232 244 256	1573691027840