Prime p₀= 2094016100038817501 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 94 2 10 2 40 2 16 2 40 2 (?)
a_n: 0 2 30 32 126 128 138 140 180 182 198 200 240 242
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: 242
Found by: Landjunge
db: batch=80, k=14, 28 94 10 40 16 40

SPT(16)	2094014405548881391	0 16 36 76 142 148 168 190 198 220 240 246 312 352 372 388	-1694489936110
STPT(10)	2094015030041415329	0 2 30 32 60 62 90 92 120 122	-1069997402172
STPT(10)	2094015150532533461	0 2 30 32 78 80 126 128 156 158	-949506284040
STPT(10)	2094015351016075841	0 2 6 8 48 50 90 92 96 98	-749022741660
STPT(10)	2094015757880711849	0 2 18 20 30 32 42 44 60 62	-342158105652
SPT(16)	2094016001585440073	0 36 44 50 56 110 120 126 164 170 180 234 240 246 254 290	-98453377428
SPT(16)	2094016235604701399	0 12 18 54 62 68 164 180 272 288 384 390 398 434 440 452	135565883898
SPT(16)	2094016863137383609	0 34 78 88 112 118 150 154 168 172 204 210 234 244 288 322	763098566108
SPT(16)	2094016927504603427	0 42 44 56 104 140 144 152 174 182 186 222 270 282 284 326	827465785926
TPT(14)	2094017460548051999	0 2 72 74 102 104 162 164 210 212 240 242 312 314	1360509234498
STPT(10)	2094017943147014627	0 2 30 32 42 44 54 56 84 86	1843108197126