Prime p₀= 2122625831202921389 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 70 2 46 2 58 2 22 2 76 2 (?)
a_n: 0 2 48 50 120 122 168 170 228 230 252 254 330 332
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: 332
Found by: Landjunge
db: batch=80, k=14, 46 70 46 58 22 76

SPT(16)	2122624617485174021	0 30 108 116 128 140 162 168 200 206 228 240 252 260 338 368	-1213717747368
SPT(16)	2122624744557308801	0 20 38 66 102 146 162 168 200 206 222 266 302 330 348 368	-1086645612588
SPT(16)	2122624964224051949	0 2 12 60 128 134 158 198 224 264 288 294 362 410 420 422	-866978869440
STPT(10)	2122624996628697929	0 2 18 20 30 32 42 44 60 62	-834574223460
SPT(16)	2122625400831498883	0 24 66 166 168 196 204 216 238 250 258 286 288 388 430 454	-430371422506
TPT(14)	2122625411904794369	0 2 42 44 72 74 108 110 150 152 210 212 222 224	-419298127020
SPT(16)	2122625951051384887	0 10 34 42 72 82 94 132 142 180 192 202 232 240 264 274	119848463498
SPT(16)	2122626245740659283	0 10 18 66 78 108 120 130 174 184 196 226 238 286 294 304	414537737894
STPT(10)	2122626706402916447	0 2 30 32 42 44 54 56 84 86	875199995058
SPT(16)	2122626737353489217	0 12 30 74 102 110 114 132 182 200 204 212 240 284 302 314	906150567828
SPT(18)	2122626782775685997	0 20 42 66 96 110 114 126 140 156 170 182 186 200 230 254 276 296	951572764608