Prime p₀= 2574624649400096477 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 40 2 46 2 76 2 10 2 76 2 (?)
a_n: 0 2 72 74 114 116 162 164 240 242 252 254 330 332
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: 332
Found by: JayPi
db: batch=82, k=14, 70 40 46 76 10 76

SPT(16)	2574623639569298663	0 26 54 78 98 126 128 150 194 216 218 246 266 290 318 344	-1009830797814
STPT(10)	2574623675597872397	0 2 42 44 72 74 102 104 144 146	-973802224080
STPT(10)	2574623877442840499	0 2 78 80 150 152 222 224 300 302	-771957255978
STPT(10)	2574624043876611677	0 2 30 32 42 44 54 56 84 86	-605523484800
STPT(12)	2574624327963491981	0 2 36 38 48 50 78 80 90 92 126 128	-321436604496
SPT(16)	2574624582111626533	0 30 46 88 114 136 144 156 208 220 228 250 276 318 334 364	-67288469944
STPT(10)	2574624901223834309	0 2 42 44 90 92 138 140 180 182	251823737832
SPT(16)	2574624961233543397	0 4 12 72 82 84 106 132 154 180 202 204 214 274 282 286	311833446920
SPT(16)	2574625030887568567	0 72 100 102 150 156 174 186 310 322 340 346 394 396 424 496	381487472090
STPT(10)	2574625443095363639	0 2 42 44 60 62 78 80 120 122	793695267162
SPT(16)	2574626537540779357	0 12 30 42 72 132 142 180 256 294 304 364 394 406 424 436	1888140682880