Prime p₀= 2005517017017218891 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 76 2 82 2 34 2 160 2 40 2 (?)
a_n: 0 2 18 20 96 98 180 182 216 218 378 380 420 422
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: 422
Found by: LeChat51X
db: batch=80, k=14, 16 76 82 34 160 40

SPT(16)	2005515382153910443	0 66 76 88 90 94 166 204 220 258 330 334 336 348 358 424	-1634863308448
SPT(16)	2005515555042098293	0 10 28 34 124 130 138 148 150 160 168 174 264 270 288 298	-1461975120598
SPT(16)	2005516040103277853	0 8 30 56 60 74 78 114 140 176 180 194 198 224 246 254	-976913941038
STPT(10)	2005516497923367227	0 2 30 32 42 44 54 56 84 86	-519093851664
STPT(10)	2005516774019028251	0 2 36 38 78 80 120 122 156 158	-242998190640
SPT(13)	2005516910277736267	0 12 42 60 66 90 96 102 126 132 150 180 192	-106739482624
SPT(16)	2005517025794698453	0 6 46 70 76 88 114 130 144 160 186 198 204 228 268 274	8777479562
SPT(16)	2005517292925721539	0 18 30 34 40 42 60 72 100 112 130 132 138 142 154 172	275908502648
SPT(16)	2005517324198012539	0 18 24 82 102 118 132 150 322 340 354 370 390 448 454 472	307180793648
SPT(16)	2005518101254620119	0 14 38 60 74 90 150 164 234 248 308 324 338 360 384 398	1084237401228
STPT(10)	2005518242820009017	0 2 60 62 72 74 84 86 144 146	1225802790126