Prime p₀= 2091137914764181991 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 70 2 16 2 10 2 76 2 28 2 (?)
a_n: 0 2 66 68 138 140 156 158 168 170 246 248 276 278
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: 278
Found by: Landjunge
db: batch=80, k=14, 64 70 16 10 76 28

STPT(10)	2091136631001605951	0 2 30 32 78 80 126 128 156 158	-1283762576040
STPT(10)	2091136827596094371	0 2 30 32 60 62 90 92 120 122	-1087168087620
SPT(16)	2091136891728886913	0 18 44 48 60 84 98 104 114 120 134 158 170 174 200 218	-1023035295078
SPT(16)	2091137415326948017	0 46 72 82 84 112 150 162 214 226 264 292 294 304 330 376	-499437233974
SPT(16)	2091137442864527293	0 70 88 190 208 244 300 304 330 334 390 426 444 546 564 634	-471899654698
SPT(16)	2091137458766371343	0 20 48 54 56 60 66 80 84 98 104 108 110 116 144 164	-455997810648
SPT(16)	2091138156522122237	0 6 14 32 84 90 116 122 204 210 236 242 294 312 320 326	241757940246
SPT(13)	2091138232633645007	0 36 42 60 120 180 186 192 252 312 330 336 372	317869463016
STPT(12)	2091138564941252039	0 2 12 14 42 44 48 50 78 80 90 92	650177070048
STPT(10)	2091138842840255177	0 2 54 56 72 74 90 92 144 146	928076073186
STPT(10)	2091138913240686887	0 2 30 32 42 44 54 56 84 86	998476504896