Prime p₀= 2207993359113227051 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 166 2 16 2 28 2 28 2 52 2 106 2 (?)
a_n: 0 2 168 170 186 188 216 218 246 248 300 302 408 410
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: Penguin
db: batch=81, k=14, 166 16 28 28 52 106

SPT(16)	2207992451624269589	0 44 80 114 164 174 188 200 222 234 248 258 308 342 378 422	-907488957462
STPT(10)	2207992617008038307	0 2 42 44 72 74 102 104 144 146	-742105188744
SPT(16)	2207992639310167711	0 52 72 78 136 178 196 198 310 312 330 372 430 436 456 508	-719803059340
SPT(16)	2207992935854817119	0 42 50 54 74 108 120 170 192 242 254 288 308 312 320 362	-423258409932
SPT(16)	2207993176903617497	0 20 30 102 116 140 146 164 192 210 216 240 254 326 336 356	-182209609554
STPT(10)	2207993254188750209	0 2 18 20 30 32 42 44 60 62	-104924476842
STPT(10)	2207993941236231227	0 2 60 62 102 104 144 146 204 206	582123004176
SPT(16)	2207995037197113641	0 2 78 92 98 122 158 198 332 372 408 432 438 452 528 530	1678083886590
STPT(10)	2207995222020622031	0 2 6 8 48 50 90 92 96 98	1862907394980
SPT(16)	2207995354196384359	0 18 70 120 168 178 228 232 300 304 354 364 412 462 514 532	1995083157308
SPT(16)	2207995488175079287	0 34 60 66 90 136 144 156 214 226 234 280 304 310 336 370	2129061852236