Prime p₀= 78277800895992041 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 34 2 28 2 10 2 28 2 10 2 (?)
a_n: 0 2 36 38 66 68 78 80 108 110 120 122
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: 122
Found by: RFGuy_KCCO
db: batch=67, k=12, 34 28 10 28 10

TPT(12)	78277738548189281	0 2 78 80 168 170 180 182 210 212 246 248	-62347802760
SPT(14)	78277748157117121	0 18 22 28 30 40 48 70 78 88 90 96 100 118	-52738874920
SPT(14)	78277754739910339	0 12 22 34 40 42 54 118 130 132 138 150 160 172	-46156081702
SPT(14)	78277767685606721	0 86 102 110 138 182 228 290 336 380 408 416 432 518	-33210385320
SPT(14)	78277770148599209	0 44 74 122 140 144 152 282 290 294 312 360 390 434	-30747392832
TPT(12)	78277788051673751	0 2 30 32 60 62 156 158 186 188 228 230	-12844318290
SPT(14)	78277804369739251	0 28 90 102 112 120 172 198 250 258 268 280 342 370	3473747210
TPT(12)	78277818246298001	0 2 6 8 48 50 90 92 126 128 198 200	17350305960
SPT(14)	78277820557604089	0 22 42 52 64 70 90 94 114 120 132 142 162 184	19661612048
SPT(14)	78277823441344693	0 18 24 34 70 90 106 108 124 144 180 190 196 214	22545352652
SPT(14)	78277831332388579	0 28 42 82 108 124 132 160 168 184 210 250 264 292	30436396538