Prime p₀= 2121355589183783387 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 22 2 28 2 94 2 22 2 (?)
a_n: 0 2 12 14 30 32 54 56 84 86 180 182 204 206
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: 206
Found by: Landjunge
db: batch=80, k=14, 10 16 22 28 94 22

SPT(16)	2121354015551327057	0 2 42 62 114 140 152 156 200 204 216 242 294 314 354 356	-1573632456330
SPT(16)	2121354138072487891	0 42 58 70 96 102 108 132 136 160 166 172 198 210 226 268	-1451111295496
STPT(10)	2121354835337908991	0 2 6 8 18 20 30 32 36 38	-753845874396
STPT(10)	2121354908280139877	0 2 90 92 102 104 114 116 204 206	-680903643510
STPT(10)	2121355060736788907	0 2 30 32 60 62 90 92 120 122	-528446994480
STPT(10)	2121355089455455727	0 2 30 32 42 44 54 56 84 86	-499728327660
SPT(16)	2121355595281623577	0 22 24 84 114 162 172 192 232 252 262 310 340 400 402 424	6097840190
STPT(10)	2121355647669294227	0 2 42 44 72 74 102 104 144 146	58485510840
STPT(10)	2121356459946054341	0 2 6 8 48 50 90 92 96 98	870762270954
SPT(16)	2121356933162707463	0 6 14 56 86 90 98 108 356 366 374 378 408 450 458 464	1343978924076
STPT(10)	2121357181146299597	0 2 54 56 72 74 90 92 144 146	1591962516210