Prime p₀= 2726376586384963451 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 196 2 16 2 40 2 40 2 106 2 40 2 (?)
a_n: 0 2 198 200 216 218 258 260 300 302 408 410 450 452
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: 452
Found by: JayPi
db: batch=82, k=14, 196 16 40 40 106 40

SPT(13)	2726375756032460347	0 12 30 90 96 102 156 210 216 222 282 300 312	-830352503104
STPT(10)	2726375797544921189	0 2 48 50 90 92 132 134 180 182	-788840042262
STPT(10)	2726376380112970199	0 2 18 20 30 32 42 44 60 62	-206271993252
SPT(16)	2726376461505006313	0 28 34 78 84 124 160 174 190 204 240 280 286 330 336 364	-124879957138
SPT(16)	2726376488997042727	0 4 6 24 54 66 84 114 196 226 244 256 286 304 306 310	-97387920724
STPT(10)	2726376553554978977	0 2 42 44 102 104 162 164 204 206	-32829984474
TPT(14)	2726376595110759977	0 2 12 14 114 116 180 182 204 206 234 236 240 242	8725796526
SPT(16)	2726376948558759311	0 6 8 12 26 32 62 90 98 126 156 162 176 180 182 188	362173795860
STPT(10)	2726377563708941837	0 2 90 92 102 104 114 116 204 206	977323978386
STPT(12)	2726377845307010267	0 2 60 62 72 74 282 284 294 296 354 356	1258922046816
STPT(10)	2726378187484660517	0 2 54 56 72 74 90 92 144 146	1601099697066