Prime p₀= 518121620252658647 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 28 2 166 2 40 2 10 2 (?)
a_n: 0 2 12 14 42 44 210 212 252 254 264 266
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: 266
Found by: nenym
db: batch=71, k=12, 10 28 166 40 10

TPT(12)	518121488254367111	0 2 36 38 48 50 90 92 210 212 240 242	-131998291536
SPT(14)	518121489957903449	0 24 72 74 128 140 164 168 192 204 258 260 308 332	-130294755198
SPT(16)	518121552523536659	0 32 60 78 150 158 168 188 222 242 252 260 332 350 378 410	-67729121988
SPT(14)	518121563863604917	0 10 16 72 90 100 130 156 186 196 214 270 276 286	-56389053730
SPT(14)	518121568665912649	0 34 60 78 124 138 148 180 190 204 250 268 294 328	-51586745998
SPT(14)	518121568851218897	0 56 80 90 96 102 110 132 140 146 152 162 186 242	-51401439750
SPT(14)	518121623222233193	0 18 20 38 80 86 108 206 228 234 276 294 296 314	2969574546
SPT(14)	518121646707136387	0 10 24 94 142 144 154 210 220 222 270 340 354 364	26454477740
SPT(14)	518121649134371507	0 12 24 122 134 144 164 180 200 210 222 320 332 344	28881712860
SPT(14)	518121662624923631	0 42 50 72 98 102 126 152 176 180 206 228 236 278	42372264984
SPT(14)	518121667696118081	0 38 60 96 102 116 140 168 192 206 212 248 270 308	47443459434