Prime p₀= 2736648830138122439 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 94 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 138 140 168 170 180 182
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: JayPi
db: batch=82, k=12, 2 10 2 28 2 94

SPT(16)	2736647672104389889	0 30 40 42 108 112 118 132 160 174 180 184 250 252 262 292	-1158033732550
SPT(16)	2736647679906581239	0 78 94 108 142 168 178 184 198 204 214 240 274 288 304 382	-1150231541200
STPT(10)	2736647857130979509	0 2 48 50 90 92 132 134 180 182	-973007142930
SPT(16)	2736647983506000731	0 6 12 48 62 66 98 110 168 180 212 216 230 266 272 278	-846632121708
STPT(10)	2736648039856815839	0 2 18 20 30 32 42 44 60 62	-790281306600
SPT(16)	2736648225989781473	0 44 56 104 108 128 168 170 234 236 276 296 300 348 360 404	-604148340966
STPT(10)	2736648975163564007	0 2 30 32 42 44 54 56 84 86	145025441568
TPT(14)	2736649185704196881	0 2 18 20 30 32 60 62 108 110 138 140 228 230	355566074442
TPT(14)	2736649461038804147	0 2 42 44 90 92 132 134 222 224 270 272 312 314	630900681708
SPT(16)	2736649723401239201	0 2 12 72 80 90 110 152 168 210 230 240 248 308 318 320	893263116762
SPT(16)	2736649815707602877	0 36 56 90 104 134 150 176 180 206 222 252 266 300 320 356	985569480438