Prime p₀= 2379025254642229901 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 46 2 58 2 70 2 34 2 28 2 (?)
a_n: 0 2 30 32 78 80 138 140 210 212 246 248 276 278
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: [SG-2W]Kurzer
db: batch=81, k=14, 28 46 58 70 34 28

STPT(10)	2379023808200698541	0 2 36 38 78 80 120 122 156 158	-1446441531360
SPT(16)	2379023945374806523	0 24 34 94 166 198 264 330 364 430 496 528 600 660 670 694	-1309267423378
STPT(10)	2379024059971215929	0 2 18 20 30 32 42 44 60 62	-1194671013972
SPT(16)	2379024210641697007	0 30 34 60 82 96 102 124 162 184 190 204 226 252 256 286	-1044000532894
SPT(16)	2379024788881891357	0 6 22 30 34 72 96 100 186 190 214 252 256 264 280 286	-465760338544
SPT(16)	2379025005581055599	0 8 18 20 78 144 162 182 210 230 248 314 372 374 384 392	-249061174302
SPT(16)	2379025576707684917	0 42 80 90 96 122 162 176 180 194 234 260 266 276 314 356	322065455016
STPT(10)	2379025862385469049	0 2 18 20 30 32 42 44 60 62	607743239148
SPT(16)	2379025993258387423	0 34 54 90 96 114 124 156 178 210 220 238 244 280 300 334	738616157522
STPT(10)	2379026566924399001	0 2 30 32 78 80 126 128 156 158	1312282169100
STPT(10)	2379026594916602591	0 2 36 38 78 80 120 122 156 158	1340274372690