Prime p₀= 2260723147928048981 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 40 2 10 2 118 2 34 2 22 2 (?)
a_n: 0 2 36 38 78 80 90 92 210 212 246 248 270 272
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: JayPi
db: batch=81, k=14, 34 40 10 118 34 22

TPT(14)	2260722196798520627	0 2 30 32 72 74 84 86 102 104 132 134 144 146	-951129528354
STPT(10)	2260722406015713221	0 2 30 32 168 170 306 308 336 338	-741912335760
STPT(10)	2260722473072408171	0 2 30 32 78 80 126 128 156 158	-674855640810
TPT(14)	2260722694216974179	0 2 78 80 90 92 108 110 132 134 162 164 168 170	-453711074802
STPT(10)	2260722919839485159	0 2 42 44 60 62 78 80 120 122	-228088563822
TPT(14)	2260722953578648331	0 2 66 68 108 110 216 218 258 260 300 302 378 380	-194349400650
SPT(16)	2260723339216530203	0 54 68 78 86 114 116 120 134 138 140 168 176 186 200 254	191288481222
STPT(10)	2260723595169840137	0 2 30 32 120 122 210 212 240 242	447241791156
SPT(16)	2260723866769568209	0 22 42 94 148 162 220 262 270 312 370 384 438 490 510 532	718841519228
STPT(10)	2260723871216870987	0 2 12 14 72 74 132 134 144 146	723288822006
SPT(16)	2260724138159478527	0 20 32 42 60 104 134 152 162 180 210 254 272 282 294 314	990231429546