Prime p₀= 3018671363196744917 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 22 2 16 2 40 2 16 2 76 2 (?)
a_n: 0 2 30 32 54 56 72 74 114 116 132 134 210 212
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: 212
Found by: raddoc
db: batch=82, k=14, 28 22 16 40 16 76

SPT(16)	3018669769159555657	0 34 42 90 102 144 160 174 262 276 292 334 346 394 402 436	-1594037189260
SPT(16)	3018670024668633281	0 6 30 38 90 92 146 150 188 192 246 248 300 308 332 338	-1338528111636
STPT(10)	3018670271118209327	0 2 42 44 72 74 102 104 144 146	-1092078535590
SPT(16)	3018670413152526481	0 6 52 82 180 208 222 280 408 466 480 508 606 636 682 688	-950044218436
STPT(12)	3018670556183372567	0 2 24 26 42 44 162 164 180 182 204 206	-807013372350
SPT(16)	3018670840699954943	0 68 86 90 138 156 194 198 206 210 248 266 314 318 336 404	-522496789974
SPT(16)	3018671526991881263	0 18 38 48 98 104 116 126 188 198 210 216 266 276 296 314	163795136346
SPT(16)	3018671730304057241	0 18 38 56 96 102 108 126 152 170 176 182 222 240 260 278	367107312324
SPT(16)	3018671743745919773	0 24 26 78 114 116 120 180 224 284 288 290 326 378 380 404	380549174856
STPT(10)	3018671862199654259	0 2 18 20 30 32 42 44 60 62	499002909342
STPT(10)	3018672005286507509	0 2 42 44 60 62 78 80 120 122	642089762592