Prime p₀= 2112209635140151397 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 16 2 82 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 114 116 132 134 144 146
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: eclipse99
db: batch=80, k=12, 2 10 2 16 2 82

SPT(16)	2112208104798388879	0 58 64 118 120 132 162 174 178 190 220 232 234 288 294 352	-1530341762518
STPT(10)	2112208844506295807	0 2 24 26 42 44 60 62 84 86	-790633855590
SPT(16)	2112208881042400081	0 12 30 40 42 60 76 82 90 96 112 130 132 142 160 172	-754097751316
SPT(16)	2112209104183736347	0 10 52 54 84 114 124 144 292 312 322 352 382 384 426 436	-530956415050
STPT(10)	2112209304438315947	0 2 12 14 72 74 132 134 144 146	-330701835450
SPT(16)	2112209316196480981	0 18 88 102 148 258 282 288 292 298 322 432 478 492 562 580	-318943670416
SPT(16)	2112209671607236381	0 12 52 60 70 78 82 88 102 108 112 120 130 138 178 190	36467084984
SPT(16)	2112209827949716151	0 12 56 60 98 128 138 152 156 170 180 210 248 252 296 308	192809564754
STPT(10)	2112210351777604877	0 2 30 32 42 44 54 56 84 86	716637453480
STPT(10)	2112210609254137697	0 2 30 32 42 44 54 56 84 86	974113986300
SPT(16)	2112210630014076701	0 2 26 30 72 90 126 128 180 182 218 236 278 282 306 308	994873925304