Prime p₀= 2046747585047392301 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 40 2 178 2 76 2 28 2 100 2 (?)
a_n: 0 2 6 8 48 50 228 230 306 308 336 338 438 440
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: 440
Found by: Daniel
db: batch=80, k=14, 4 40 178 76 28 100

SPT(16)	2046744806272747613	0 18 36 50 84 140 168 186 278 296 324 380 414 428 446 464	-2778774644688
SPT(16)	2046744922952186143	0 24 58 108 144 190 198 228 280 310 318 364 400 450 484 508	-2662095206158
SPT(16)	2046745029708119437	0 6 12 46 64 82 120 142 144 166 204 222 240 274 280 286	-2555339272864
SPT(16)	2046745706310695833	0 6 10 46 60 130 150 160 186 196 216 286 300 336 340 346	-1878736696468
STPT(10)	2046747083577901169	0 2 12 14 90 92 168 170 180 182	-501469491132
SPT(16)	2046747573674327647	0 54 76 90 114 156 210 232 264 286 340 382 406 420 442 496	-11373064654
STPT(10)	2046747646089804839	0 2 18 20 30 32 42 44 60 62	61042412538
SPT(16)	2046747772245530069	0 50 114 132 140 144 150 162 170 182 188 192 200 218 282 332	187198137768
STPT(10)	2046748372776978461	0 2 90 92 108 110 126 128 216 218	787729586160
TPT(14)	2046748433436060437	0 2 12 14 42 44 54 56 72 74 150 152 180 182	848388668136
TPT(14)	2046748485371164271	0 2 30 32 138 140 180 182 186 188 210 212 228 230	900323771970