Prime p₀= 1949368615377138269 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 28 2 34 2 100 2 28 2 28 2 (?)
a_n: 0 2 42 44 72 74 108 110 210 212 240 242 270 272
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: 272
Found by: Landjunge
db: batch=80, k=14, 40 28 34 100 28 28

STPT(10)	1949367957870931859	0 2 18 20 30 32 42 44 60 62	-657506206410
STPT(10)	1949368041140827631	0 2 30 32 78 80 126 128 156 158	-574236310638
SPT(16)	1949368109582696123	0 6 18 38 44 98 110 114 140 144 156 210 216 236 248 254	-505794442146
SPT(16)	1949368202546094353	0 14 18 36 38 74 108 134 150 176 210 246 248 266 270 284	-412831043916
STPT(10)	1949368258013502551	0 2 36 38 78 80 120 122 156 158	-357363635718
STPT(10)	1949368545672491129	0 2 18 20 30 32 42 44 60 62	-69704647140
SPT(16)	1949368818102715951	0 28 42 76 126 130 138 142 156 160 168 172 222 256 270 298	202725577682
STPT(10)	1949368867613765627	0 2 12 14 42 44 72 74 84 86	252236627358
STPT(10)	1949368901579431349	0 2 42 44 90 92 138 140 180 182	286202293080
SPT(16)	1949369366635142369	0 8 24 42 54 120 134 150 212 228 242 308 320 338 354 362	751258004100
SPT(16)	1949369719551511273	0 4 84 118 148 154 234 240 274 280 360 366 396 430 510 514	1104174373004