Prime p₀= 2427804051348195941 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 178 2 28 2 88 2 10 2 28 2 (?)
a_n: 0 2 66 68 246 248 276 278 366 368 378 380 408 410
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 410
Found by: Penguin
db: batch=82, k=14, 64 178 28 88 10 28

SPT(16)	2427803022763878169	0 40 54 60 144 160 202 270 274 342 384 400 484 490 504 544	-1028584317772
STPT(10)	2427803087731454099	0 2 42 44 60 62 78 80 120 122	-963616741842
STPT(10)	2427803262140680157	0 2 30 32 42 44 54 56 84 86	-789207515784
STPT(10)	2427803373010609211	0 2 36 38 78 80 120 122 156 158	-678337586730
SPT(16)	2427803647130629847	0 6 32 36 44 50 74 84 92 102 126 132 140 144 170 176	-404217566094
STPT(10)	2427803669850219119	0 2 18 20 30 32 42 44 60 62	-381497976822
STPT(10)	2427804106697394767	0 2 24 26 42 44 60 62 84 86	55349198826
SPT(16)	2427804964793296793	0 8 60 68 84 90 126 138 146 158 194 200 216 224 276 284	913445100852
TPT(14)	2427805163264488871	0 2 6 8 90 92 120 122 180 182 210 212 246 248	1111916292930
TPT(14)	2427805282195503911	0 2 30 32 96 98 108 110 126 128 150 152 180 182	1230847307970
SPT(16)	2427805374593196659	0 12 14 18 20 24 62 92 150 180 218 222 224 228 230 242	1323245000718