Prime p₀= 1327547411125450439 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 58 2 4 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 78 80 138 140 150 152
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: 152
Found by: Theadalus
db: batch=77, k=12, 2 10 2 58 2 4

SPT(16)	1327545489444274519	0 30 160 174 202 210 264 280 282 298 352 360 388 402 532 562	-1921681175920
TPT(14)	1327545601508006999	0 2 30 32 42 44 60 62 72 74 138 140 150 152	-1809617443440
SPT(16)	1327546729595668931	0 18 48 66 86 90 98 108 248 258 266 270 290 308 338 356	-681529781508
SPT(16)	1327547105144457091	0 6 90 100 186 226 258 268 270 280 312 352 438 448 532 538	-305980993348
STPT(10)	1327547107452378257	0 2 42 44 132 134 222 224 264 266	-303673072182
STPT(10)	1327547200097752727	0 2 30 32 60 62 90 92 120 122	-211027697712
SPT(16)	1327547421136072999	0 30 58 84 144 150 210 234 238 262 322 328 388 414 442 472	10010622560
STPT(10)	1327547551594180121	0 2 6 8 18 20 30 32 36 38	140468729682
STPT(10)	1327548136037391449	0 2 18 20 30 32 42 44 60 62	724911941010
SPT(16)	1327548259928315137	0 12 16 84 166 172 174 226 240 292 294 300 382 450 454 466	848802864698
SPT(16)	1327548551118160883	0 18 24 30 50 56 108 116 168 176 228 234 254 260 266 284	1139992710444