Prime p₀= 536584839194560577 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 28 2 106 2 40 2 16 2 (?)
a_n: 0 2 12 14 42 44 150 152 192 194 210 212
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: Vato
db: batch=56, k=12, 10 28 106 40 16

SPT(14)	536584745457735823	0 30 58 90 114 118 120 154 156 160 184 216 244 274	-93736824754
SPT(14)	536584757050334411	0 12 20 26 48 56 72 86 102 110 132 138 146 158	-82144226166
SPT(14)	536584772772628303	0 10 48 64 114 118 120 148 150 154 204 220 258 268	-66421932274
TPT(12)	536584794030214997	0 2 42 44 60 62 90 92 114 116 144 146	-45164345580
SPT(14)	536584806822323209	0 4 30 40 42 82 84 88 90 130 132 142 168 172	-32372237368
SPT(14)	536584818715702441	0 18 40 48 102 132 138 172 178 208 262 270 292 310	-20478858136
TPT(12)	536584869061942619	0 2 42 44 72 74 90 92 120 122 240 242	29867382042
SPT(14)	536584871759612251	0 10 42 46 60 66 90 112 136 142 156 160 192 202	32565051674
TPT(12)	536584873046957771	0 2 36 38 126 128 150 152 156 158 168 170	33852397194
SPT(14)	536584878736464193	0 16 18 30 34 70 76 108 114 150 154 166 168 184	39541903616
SPT(14)	536584907481178889	0 2 48 132 138 168 170 180 182 212 218 302 348 350	68286618312