Prime p₀= 1411809458363307671 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 70 2 166 2 40 2 4 2 10 2 (?)
a_n: 0 2 48 50 120 122 288 290 330 332 336 338 348 350
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: 350
Found by: MarkRBright
db: batch=78, k=14, 46 70 166 40 4 10

STPT(10)	1411808554456484267	0 2 30 32 72 74 114 116 144 146	-903906823404
STPT(10)	1411808787331702841	0 2 6 8 48 50 90 92 96 98	-671031604830
SPT(16)	1411809005087760893	0 8 50 56 98 110 120 126 158 164 174 186 228 234 276 284	-453275546778
TPT(14)	1411809008502413177	0 2 24 26 42 44 54 56 114 116 150 152 192 194	-449860894494
SPT(16)	1411809060363319771	0 10 82 108 112 138 142 192 286 336 340 366 370 396 468 478	-397999987900
SPT(16)	1411809272500386883	0 6 40 54 58 96 106 118 126 138 148 186 190 204 238 244	-185862920788
STPT(10)	1411809741550943897	0 2 30 32 42 44 54 56 84 86	283187636226
SPT(16)	1411809775683738451	0 12 16 60 82 96 118 130 138 150 172 186 208 252 256 268	317320430780
STPT(10)	1411809818595724811	0 2 6 8 48 50 90 92 96 98	360232417140
SPT(16)	1411809858890713831	0 16 66 90 96 126 136 138 178 180 190 220 226 250 300 316	400527406160
TPT(14)	1411809888849207059	0 2 120 122 198 200 210 212 240 242 330 332 408 410	430485899388