Prime p₀= 2306635601327875787 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 58 2 40 2 28 2 34 2 28 2 (?)
a_n: 0 2 12 14 72 74 114 116 144 146 180 182 210 212
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: 212
Found by: Orange Kid
db: batch=81, k=14, 10 58 40 28 34 28

STPT(10)	2306633460279391091	0 2 30 32 60 62 90 92 120 122	-2141048484696
SPT(16)	2306633538487858781	0 6 26 48 62 66 68 102 146 180 182 186 200 222 242 248	-2062840017006
STPT(10)	2306634275017538237	0 2 30 32 72 74 114 116 144 146	-1326310337550
STPT(10)	2306634385830925037	0 2 30 32 42 44 54 56 84 86	-1215496950750
SPT(16)	2306634517351609699	0 4 28 60 72 94 114 130 132 148 168 190 202 234 258 262	-1083976266088
SPT(16)	2306635210860209683	0 16 94 100 124 210 258 268 276 286 334 420 444 450 528 544	-390467666104
SPT(16)	2306635825630783069	0 10 24 34 40 42 90 114 118 142 190 192 198 208 222 232	224302907282
SPT(16)	2306635944137160347	0 50 56 90 104 110 116 126 194 204 210 216 230 264 270 320	342809284560
SPT(16)	2306636673244426177	0 42 102 106 130 166 172 186 250 264 270 306 330 334 394 436	1071916550390
SPT(16)	2306637136139608361	0 8 42 56 90 138 140 152 246 258 260 308 342 356 390 398	1534811732574
STPT(10)	2306637194884051829	0 2 48 50 60 62 72 74 120 122	1593556176042