Prime p₀= 21640943786749499 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 124 2 28 2 52 2 34 2 (?)
a_n: 0 2 42 44 168 170 198 200 252 254 288 290
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: stoneageman
db: batch=65, k=12, 40 124 28 52 34

TPT(12)	21640894828076789	0 2 42 44 72 74 102 104 108 110 168 170	-48958672710
SPT(14)	21640898624689457	0 72 80 86 110 114 116 120 122 126 150 156 164 236	-45162060042
SPT(14)	21640902161781127	0 24 40 54 60 66 84 112 130 136 142 156 172 196	-41624968372
SPT(14)	21640914287900917	0 22 34 52 60 64 66 70 72 76 84 102 114 136	-29498848582
SPT(14)	21640922869902221	0 30 36 116 120 158 176 252 270 308 312 392 398 428	-20916847278
TPT(12)	21640926993423467	0 2 30 32 144 146 174 176 300 302 312 314	-16793326032
SPT(14)	21640945674843181	0 10 22 30 46 60 70 102 112 126 142 150 162 172	1888093682
SPT(14)	21640946888336159	0 24 30 60 90 114 150 248 284 308 338 368 374 398	3101586660
SPT(14)	21640955835358957	0 16 34 66 76 96 114 136 154 174 184 216 234 250	12048609458
SPT(14)	21640956616011197	0 24 104 122 150 152 164 180 192 194 222 240 320 344	12829261698
SPT(14)	21640966651300081	0 10 16 46 72 82 108 130 156 166 192 222 228 238	22864550582