Prime p₀= 4834007869888661 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 34 2 10 2 28 2 166 2 22 2 (?)
a_n: 0 2 36 38 48 50 78 80 246 248 270 272
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: 272
Found by: BlackGoose05
db: batch=61, k=12, 34 10 28 166 22

TPT(12)	4833984186479309	0 2 42 44 78 80 108 110 162 164 180 182	-23683409352
SPT(14)	4833994934061421	0 52 102 112 118 172 190 198 216 270 276 286 336 388	-12935827240
SPT(14)	4833996193306009	0 10 42 58 70 78 100 162 184 192 204 220 252 262	-11676582652
SPT(14)	4833998456298481	0 12 16 42 52 78 88 120 130 156 166 192 196 208	-9413590180
SPT(14)	4834002877388479	0 18 34 114 142 144 148 264 268 270 298 378 394 412	-4992500182
SPT(14)	4834007554844509	0 18 34 48 82 90 138 214 262 270 304 318 334 352	-315044152
SPT(14)	4834008354098603	0 14 18 78 80 86 96 98 108 114 116 176 180 194	484209942
SPT(14)	4834010205039109	0 24 30 42 90 112 132 160 180 202 250 262 268 292	2335150448
SPT(14)	4834024896259159	0 30 102 124 154 160 174 208 222 228 258 280 352 382	17026370498
SPT(14)	4834033201508257	0 42 66 102 112 136 154 162 180 204 214 250 274 316	25331619596
TPT(12)	4834034149935827	0 2 12 14 42 44 102 104 144 146 180 182	26280047166