Prime p₀= 125108106487659479 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 16 2 40 2 178 2 28 2 16 2 (?)
a_n: 0 2 18 20 60 62 240 242 270 272 288 290
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: 290
Found by: Soulfly
db: batch=67, k=12, 16 40 178 28 16

SPT(14)	125108066343160297	0 12 24 42 66 112 124 222 234 280 304 322 334 346	-40144499182
SPT(14)	125108067505756703	0 14 18 44 54 68 78 110 120 134 144 170 174 188	-38981902776
TPT(12)	125108080502981369	0 2 78 80 120 122 180 182 258 260 318 320	-25984678110
TPT(12)	125108081910720479	0 2 30 32 42 44 60 62 102 104 138 140	-24576939000
SPT(16)	125108087779686481	0 22 42 60 78 82 120 130 348 358 396 400 418 436 456 478	-18707972998
SPT(16)	125108093061846071	0 6 20 36 38 42 50 60 188 198 206 210 212 228 242 248	-13425813408
SPT(14)	125108125381526467	0 22 36 52 60 82 120 136 174 196 204 220 234 256	18893866988
SPT(14)	125108131324171823	0 6 14 24 60 66 78 146 158 164 200 210 218 224	24836512344
SPT(14)	125108145469409029	0 42 82 90 100 118 160 180 222 240 250 258 298 340	38981749550
SPT(14)	125108155545932113	0 18 36 46 58 60 66 70 76 78 90 100 118 136	49058272634
SPT(14)	125108169565591579	0 28 30 52 78 94 100 162 168 184 210 232 234 262	63077932100