Prime p₀= 1794366739947775997 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 28 2 28 2 46 2 76 2 40 2 (?)
a_n: 0 2 24 26 54 56 84 86 132 134 210 212 252 254
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: 254
Found by: schoussi
db: batch=79, k=14, 22 28 28 46 76 40

TPT(14)	1794366188965607837	0 2 114 116 150 152 192 194 222 224 240 242 270 272	-550982168160
STPT(10)	1794366493235602379	0 2 18 20 30 32 42 44 60 62	-246712173618
SPT(16)	1794366594253800703	0 28 48 90 118 156 160 166 198 204 208 246 274 316 336 364	-145693975294
STPT(10)	1794366622816745177	0 2 54 56 72 74 90 92 144 146	-117131030820
SPT(16)	1794366636222338627	0 12 44 60 96 122 186 204 242 260 324 350 386 402 434 446	-103725437370
SPT(16)	1794366710290216081	0 70 88 90 108 118 130 148 192 210 222 232 250 252 270 340	-29657559916
SPT(16)	1794366845921461687	0 96 102 142 150 154 184 186 220 222 252 256 264 304 310 406	105973685690
SPT(16)	1794366963856453801	0 40 70 78 112 118 148 162 166 180 210 216 250 258 288 328	223908677804
SPT(16)	1794367341402281267	0 6 20 42 44 110 114 144 152 182 186 252 254 276 290 296	601454505270
STPT(10)	1794367392907206329	0 2 18 20 60 62 102 104 120 122	652959430332
SPT(16)	1794367438713122831	0 32 56 60 96 98 108 140 228 260 270 272 308 312 336 368	698765346834