Prime p₀= 207608648986689017 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 82 2 58 2 28 2 64 2 22 2 (?)
a_n: 0 2 84 86 144 146 174 176 240 242 264 266
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: desktop64
db: batch=69, k=12, 82 58 28 64 22

SPT(14)	207608494744023697	0 34 64 90 120 126 136 174 184 190 220 246 276 310	-154242665320
SPT(14)	207608496093392021	0 12 26 38 42 50 56 132 138 146 150 162 176 188	-152893296996
SPT(14)	207608560639624471	0 22 40 70 126 130 132 160 162 166 222 252 270 292	-88347064546
TPT(12)	207608560778388629	0 2 72 74 138 140 198 200 210 212 402 404	-88208300388
TPT(12)	207608609311351769	0 2 42 44 48 50 120 122 132 134 162 164	-39675337248
SPT(14)	207608627780780377	0 16 42 64 84 100 156 280 336 352 372 394 420 436	-21205908640
SPT(14)	207608667275473501	0 16 22 36 48 66 76 102 112 130 142 156 162 178	18288784484
TPT(12)	207608682936567947	0 2 24 26 60 62 114 116 144 146 282 284	33949878930
TPT(12)	207608683427088287	0 2 12 14 120 122 222 224 240 242 324 326	34440399270
STPT(10)	207608747134783871	0 2 30 32 60 62 90 92 120 122	98148094854
SPT(14)	207608758340341597	0 12 16 22 30 70 96 130 156 196 204 210 214 226	109353652580