Prime p₀= 2666729523613690739 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: [SG-FC] hl
db: batch=82, k=12, 2 10 2 58 2 4

SPT(16)	2666728484738587903	0 30 40 54 58 78 90 96 148 154 166 186 190 204 214 244	-1038875102836
STPT(12)	2666728624630981829	0 2 42 44 48 50 72 74 78 80 120 122	-898982708910
STPT(10)	2666728924202907659	0 2 18 20 30 32 42 44 60 62	-599410783080
SPT(16)	2666729058876272389	0 30 52 60 72 88 114 154 168 208 234 250 262 270 292 322	-464737418350
SPT(16)	2666729098984013033	0 20 48 68 98 104 116 150 224 258 270 276 306 326 354 374	-424629677706
STPT(10)	2666729323717523747	0 2 12 14 72 74 132 134 144 146	-199896166992
STPT(10)	2666729903526179459	0 2 42 44 90 92 138 140 180 182	379912488720
STPT(10)	2666730725711108657	0 2 30 32 42 44 54 56 84 86	1202097417918
SPT(16)	2666731376699391439	0 60 72 120 132 202 274 282 370 378 450 520 532 580 592 652	1853085700700
SPT(16)	2666731541956811947	0 16 30 36 52 76 90 142 204 256 270 294 310 316 330 346	2018343121208
SPT(16)	2666731632449260897	0 6 36 54 66 94 114 132 184 202 222 250 262 280 310 316	2108835570158