Prime p₀= 2941477447603850249 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 4 2 268 2 10 2 46 2 22 2 (?)
a_n: 0 2 42 44 48 50 318 320 330 332 378 380 402 404
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: 404
Found by: Landjunge
db: batch=82, k=14, 40 4 268 10 46 22

SPT(16)	2941474565366693033	0 44 74 80 84 156 210 216 248 254 308 380 384 390 420 464	-2882237157216
STPT(10)	2941475146179774551	0 2 6 8 48 50 90 92 96 98	-2301424075698
SPT(16)	2941475563074306619	0 30 72 82 118 144 174 184 228 238 268 294 330 340 382 412	-1884529543630
TPT(14)	2941477043838271427	0 2 12 14 24 26 30 32 54 56 222 224 240 242	-403765578822
STPT(10)	2941477280317342901	0 2 36 38 78 80 120 122 156 158	-167286507348
STPT(10)	2941477280466168461	0 2 78 80 108 110 138 140 216 218	-167137681788
STPT(10)	2941477503515203967	0 2 12 14 42 44 72 74 84 86	55911353718
STPT(10)	2941477537884684257	0 2 30 32 42 44 54 56 84 86	90280834008
SPT(16)	2941477552181758727	0 26 56 96 120 134 170 176 180 186 222 236 260 300 330 356	104577908478
SPT(16)	2941477553392211257	0 72 100 112 114 124 142 202 204 264 282 292 294 306 334 406	105788361008
STPT(10)	2941477597559218979	0 2 18 20 30 32 42 44 60 62	149955368730