Prime p₀= 2606570177984945759 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 154 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 198 200 228 230 240 242
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: 242
Found by: JayPi
db: batch=82, k=12, 2 10 2 28 2 154

SPT(16)	2606568856149617867	0 26 36 44 60 74 92 176 180 264 282 296 312 320 330 356	-1321835327892
STPT(10)	2606569027808855111	0 2 30 32 60 62 90 92 120 122	-1150176090648
SPT(20)	2606569225912531409	0 32 48 92 104 122 140 158 164 188 204 228 234 252 270 288 300 344 360 392	-952072414350
STPT(10)	2606569345546400207	0 2 30 32 42 44 54 56 84 86	-832438545552
STPT(10)	2606569479416347691	0 2 36 38 78 80 120 122 156 158	-698568598068
SPT(16)	2606569798939580179	0 10 18 24 34 58 60 118 150 208 210 234 244 250 258 268	-379045365580
SPT(16)	2606570283448491979	0 10 34 78 82 100 108 112 120 124 132 150 154 198 222 232	105463546220
SPT(16)	2606570693927067649	0 42 48 82 108 118 148 192 220 264 294 304 330 364 370 412	515942121890
SPT(16)	2606570900056863841	0 22 30 36 48 58 70 72 76 78 90 100 112 118 126 148	722071918082
SPT(16)	2606571566406288259	0 4 28 48 64 78 102 150 322 370 394 408 424 444 468 472	1388421342500
SPT(16)	2606571568059760349	0 38 74 144 164 170 174 198 200 224 228 234 254 324 360 398	1390074814590