Prime p₀= 2539210804668399089 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 112 2 94 2 22 2 16 2 106 2 (?)
a_n: 0 2 18 20 132 134 228 230 252 254 270 272 378 380
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: 380
Found by: Penguin
db: batch=82, k=14, 16 112 94 22 16 106

SPT(16)	2539209741300660227	0 24 30 62 72 90 122 150 164 192 224 242 252 284 290 314	-1063367738862
STPT(10)	2539209893398488767	0 2 30 32 72 74 114 116 144 146	-911269910322
TPT(14)	2539209943801448429	0 2 12 14 30 32 72 74 78 80 108 110 180 182	-860866950660
SPT(16)	2539210194148000693	0 36 40 66 78 106 160 210 244 294 348 376 388 414 418 454	-610520398396
SPT(16)	2539210480233535747	0 30 46 100 106 210 240 256 270 286 316 420 426 480 496 526	-324434863342
SPT(16)	2539210785209641373	0 20 24 54 68 78 98 108 176 186 206 216 230 260 264 284	-19458757716
SPT(16)	2539210880509489891	0 12 18 60 196 216 246 250 258 262 292 312 448 490 496 508	75841090802
SPT(16)	2539211313773648707	0 64 72 96 166 180 190 202 204 216 226 240 310 334 342 406	509105249618
TPT(14)	2539211443234524557	0 2 102 104 174 176 312 314 330 332 462 464 714 716	638566125468
STPT(10)	2539211677474553537	0 2 30 32 42 44 54 56 84 86	872806154448
TPT(14)	2539211854317991421	0 2 48 50 90 92 126 128 156 158 246 248 270 272	1049649592332