Prime p₀= 1078159798954925327 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 52 2 4 2 22 2 4 2 52 2 (?)
a_n: 0 2 54 56 60 62 84 86 90 92 144 146
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: 146
Found by: Theadalus
db: batch=76, k=12, 2 52 2 4 2 22

SPT(16)	1078158631649119961	0 62 72 78 120 128 182 210 218 246 300 308 350 356 366 428	-1167305805366
SPT(16)	1078158894997327439	0 24 50 90 114 132 134 204 260 330 332 350 374 414 440 464	-903957597888
STPT(10)	1078158975867602771	0 2 6 8 18 20 30 32 36 38	-823087322556
SPT(16)	1078159258282658711	0 12 18 26 42 66 146 180 188 222 302 326 342 350 356 368	-540672266616
SPT(16)	1078159497094427287	0 24 42 64 70 130 144 156 220 232 246 306 312 334 352 376	-301860498040
STPT(10)	1078159532521625921	0 2 6 8 48 50 90 92 96 98	-266433299406
STPT(10)	1078159912765599029	0 2 42 44 60 62 78 80 120 122	113810673702
SPT(16)	1078160277734196731	0 50 78 92 120 126 128 152 156 180 182 188 216 230 258 308	478779271404
STPT(10)	1078160623940458109	0 2 18 20 60 62 102 104 120 122	824985532782
SPT(16)	1078161177356128211	0 12 26 36 42 86 92 152 156 216 222 266 272 282 296 308	1378401202884
SPT(16)	1078161472782071519	0 2 8 24 30 50 132 182 240 290 372 392 398 414 420 422	1673827146192