Prime p₀= 2393995555952609891 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 22 2 58 2 46 2 226 2 10 2 (?)
a_n: 0 2 36 38 60 62 120 122 168 170 396 398 408 410
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: 410
Found by: Landjunge
db: batch=81, k=14, 34 22 58 46 226 10

SPT(16)	2393994090705053411	0 42 60 86 150 152 212 240 278 306 366 368 432 458 476 518	-1465247556480
SPT(16)	2393994147104966059	0 30 34 42 58 64 82 90 142 150 168 174 190 198 202 232	-1408847643832
TPT(14)	2393994739599911471	0 2 18 20 36 38 78 80 126 128 258 260 270 272	-816352698420
SPT(16)	2393994872123523061	0 12 18 40 52 70 82 130 150 198 210 228 240 262 268 280	-683829086830
SPT(16)	2393995005179622617	0 14 26 42 90 122 134 164 192 222 234 266 314 330 342 356	-550772987274
TPT(14)	2393995329757433951	0 2 6 8 66 68 90 92 96 98 300 302 378 380	-226195175940
SPT(16)	2393996100257317547	0 14 24 32 36 54 66 140 186 260 272 290 294 302 312 326	544304707656
STPT(10)	2393996310747549647	0 2 42 44 72 74 102 104 144 146	754794939756
SPT(16)	2393996918358386711	0 18 56 60 66 80 86 128 168 210 216 230 236 240 278 296	1362405776820
STPT(10)	2393997803023739777	0 2 42 44 72 74 102 104 144 146	2247071129886
TPT(14)	2393998124751974759	0 2 12 14 42 44 132 134 258 260 270 272 282 284	2568799364868