Prime p₀= 115692809553507881 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 46 2 10 2 58 2 64 2 22 2 (?)
a_n: 0 2 48 50 60 62 120 122 186 188 210 212
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: 212
Found by: nenym
db: batch=67, k=12, 46 10 58 64 22

TPT(12)	115692736905674051	0 2 30 32 48 50 60 62 270 272 300 302	-72647833830
SPT(14)	115692757019282969	0 44 54 122 128 158 170 192 204 234 240 308 318 362	-52534224912
SPT(14)	115692760584638813	0 8 14 78 116 144 170 174 200 228 266 330 336 344	-48968869068
SPT(14)	115692761406174677	0 30 84 104 134 152 176 180 204 222 252 272 326 356	-48147333204
SPT(14)	115692764445740369	0 2 32 72 90 128 132 140 144 182 200 240 270 272	-45107767512
SPT(16)	115692795534710861	0 8 20 42 48 78 80 90 110 120 122 152 158 180 192 200	-14018797020
SPT(14)	115692817404446297	0 2 26 36 72 86 92 120 126 140 176 186 210 212	7850938416
SPT(14)	115692820360194001	0 28 40 42 46 60 82 156 178 192 196 198 210 238	10806686120
SPT(14)	115692830038137337	0 10 30 52 66 72 94 102 124 130 144 166 186 196	20484629456
SPT(14)	115692831852169877	0 26 30 44 56 60 84 86 110 114 126 140 144 170	22298661996
SPT(14)	115692852154841099	0 8 42 50 62 78 92 180 194 210 222 230 264 272	42601333218